It might be useful to look up and see if yours is "early blight" (Alternaria solani or Alternaria tomatophila) or "late blight" (Phytophthora infestans). I have a lot of
experience with late blight, because around here, every single tomato plant planted outside dies of this every year without fail. We just prefer that to be in November rather than June. BTW, late blight can come early in the season and I believe early blight can come late too. So don't let the names fool you. But we don't have early blight here, knock on wood, so maybe someone else can say something about that.
One way to tell if it's late blight is to take what you suspect is an infected leaf, and seal it up with a moist paper towel in a ziploc bag overnight. If the next day it has a white fuzzy mold under the leaf, it's late blight and you're in trouble. Late blight is a mildew/fungus and is really voracious, it's what caused the Irish potato famine in the 1800s (some strains also infect potatoes and other nightshades). Serious business. Get rid of it.
Anyway, if it is late blight, its spores need live host tissue to go on living. The spores will only live on tomato, potato or other solanaceae plant material, and some strains only infect tomato plant material, nothing else. Any fallen bits of an infected tomato or plant in a bed that are kept moist and protected and somehow survive the winter will reintroduce the fungus the next year.
Late blight spores reproduce in cool, wet/humid weather, so 10-20°C (50-68°F) and over 80% humidity. The spores can travel many kms/miles in this weather. I try not to touch my tomato plants when it's cool and humid as I could be spreading spores myself, and definitely don't remove suckers, stake or prune until the weather dries up or heats up a bit. The spores can't reproduce or travel at all on a normal or dry, warm/sunny day, so that's when I handle tomato plants.
If you've got late blight in your area, it's highly doubtful you'll ever get rid of it as anyone leaving any infected live material around in your whole area can reintroduce it next year, including you, unknowingly, so it's best to learn to live with it and establish good habits.
When you see the first sign of infection, those telltale brown spots after a good spell of cool, drizzly weather, you need to start hacking away fast, as soon as the temperature and humidity are OK. BTW,
if you have a few days of cool, wet or humid weather you need to be watching your tomato plants like a hawk! Go every day and check the situation.
You don't want to let the blight go systemic, meaning get really into the "blood"/sap/whatever of the tomato plant, then your whole plant is a goner. So I usually clip out the leaf + maybe a thumb-length of the branch it's on. If the spot is big, I take the whole branch, figuring some of the blight may have gotten into the sap of that branch. I'm pretty brutal and hack away and get all of the spots that look like they could be blight. If you get blight on a stem, just amputate, tomato plants are weeds and most varieties will start putting out new shoots from weird places. If you have a healthy sucker, you might do well planting that and it will usually grow like dynamite.
I carefully keep all the plant waste I hack off in a pile or two, and then I meticulously gather up every little bit of it and dispose of it far, far away. If you can solarize and burn it on a hot dry day, better.
Careful with your gloves, they can spread spores around too. I wash and dry them well after I've been taking care of blighted leaves. Sometimes I dip my glove fingertips and clipper blades in fungicide (see below) between plants too when removing blighted parts.
To prevent late blight, the only thing that works pretty reliably is some copper-containing fungicide like copper sulfate or copper oxychloride or some weird-sounding name like that. Look for one that's accepted in
organic agriculture. It's not really organic and it's too bad to have to do, but no one has found an effective organic remedy yet, that's why it's permitted in organic ag. Copper and fungicides in general are not good for the soil organisms. Dilute it to the strength permitted in organic and
spray the plants all over every surface. Any surface that's not sprayed can host blight spores. Most people here spray the plants about 3 times in a season, usually early to mid. And be careful not to do it just before a rain, that will just wash it off into the soil.
Never use the copper compounds to "cure" blight -- they cannot do that, they only prevent spores from settling on a surface. Once the plant is infected, you need to hack.
In the end, I like my soil life a lot, so I rely more on hacking and rarely spray. And I experiment with everything I hear, like a homeopathic remedy a friend made for me,
nettle tea, horsetail tea, etc. And a friend swears by the copper wire method, he puts a thin copper wire through the main stem of each plant. He says it works for him, others disagree. Experiment to your heart's content and let's hope that someday someone finds a real organic "cure" that works. I get good enough results with the way I do things. You have to watch really carefully though and move in really fast when you see trouble.
So back to your situation. I would yes, as Anne said, maybe trim those trees. Only plant tomatoes where they'll get lots of full sun. I would ditch those woodchips and not put any new ones back. They are generally great, they keep the soil and everything cool and moist, BUT, but if you've got late blight going, this is just the environment this mildew needs to grow and it can
shelter bits of fallen tomatoes or leaves with the spores in them. And -- not a usual
permaculture recommendation, but keep the soil below your tomato plants clean and dry. Do not mulch. Water them deep every few weeks on a dry/hot sunny day. Right now, I might carefully take off the top 2-3 centimeters of soil from anywhere you've had tomatoes and black bag it, solarize it and ditch it if you're not satisfied you've killed all the spores.
Spores can only live in the soil itself (as opposed to a little bit of tomato material that is in the soil) if there are "A" spores and "B" spores in your area. This is thankfully very rare. But if it happens, the spores can reproduce sexually and
those spores can live for years in the soil itself. We don't have that here, but check that out maybe with your
local ag extension, that's a big problem if you have it.
Keep on top of it and best of luck!