Never tried no till. Be interested to hear how it works out for you. :)
There are so many rocks in my soil every year I still have to till and toss rocks to try to improve it and give the root crops room to spread. Even without the rocks soil might be too compact to do no till, if it goes how I think it goes. I have tons of clonal saplings I trim back every year, so I'll be trying hugelkultur without really meaning to, perhaps that method will help naturally. For tomatoes have you tried egg shells?
I get beetles here attacking the roots of the root crops, so past two years tried the nematodes, they may in fact have helped as last year there appeared to be a portion fewer, but it's hard to say without more evidence.
Just started my first seeds yesterday. Too early really here, average last frost is a long time away, but I can grow some of it indoors. This year -- starting the seeds in mason jars with sprout drainer lids, so I can see which seeds sprout before putting them in trays, should save me from any pruning.
S. Serenus ora pro nobis.