Thanks!
 My ratios probably are pretty good, though I'll be honest, I won't not compost something to keep the ratios better (that came out a little awkward but I think you'll get my point)...Spring and summer I tend to have more greens, but I cut up and save cardboard that can't be recycled due to contamination (like pizza boxes) and save shredded paper to add when needed.
 My tumbler (which gets the same ratio) produces finished compost much faster than the chicken wire bins, but honestly, so do small piles of weeds I leave on the driveway. But the only difference between the tumbler and the bins isn't that I tumble the tumbler, it stays more moist and the worms and sow bugs and black soldier fly larva that end up in it have no immediate escape routes.
 I tend to think lack of water is the issue, that with all the exposed sides the chicken wire bins just dry out too quickly, but as I said in the initial post, I'd like to have a quick/simple test for oxygen levels... My other idea is to use the bins to get things started and then finish it in the tumbler.
 If water is the issue, then I can try to divert some grey water to the compost bins, but before I add a way to capture that and carry it out by hand, I'd like to rule out a different potential problem...