Hi John,
We've grown rainbow trout in our aquaponic systems before and they do fine. They are actually my favourite fish, as they will grow from tiddler to plate size in 6 months and taste great with butter / garlic
I live in a warmer climate, and put the trout fingerlings in the tank in Autumn, ready for harvest by the beginning of summer. The trout die off in summer in our heat, but if you are in a temperate climate you could have fresh trout all year!
If you are growing plants already, then adding fish is no issue. Just add whatever your local stockist has, as they will be suited to your climate.
If you are worried about plant growth though, try putting your system in a greenhouse. The fish will do fine with the warmer temps, and the plants will like it. Trout will start to suffer at about 80'F (30'C), but you can prolong their season by chilling the water (which wont be an issue if you are in a temperate climate).
We have mixed freshwater crayfish and fish, it doesn't work. The marron will come out at night and eat the fish, shredding their tails to bits and leaving the fish scarred. In the wild the fish can go to deeper water, but in a tank they just become marron bait. Just incase you were thinking of mixing the two, best to have separate tanks.
Cheers,
Mel