I'm suspicious it could be a
Fusarium infection: (1) Fusarium acts to quickly dessicate and kill plants (2) It's not really active until temperatures get up into the 80s (3) it is an equal opportunity fungus that can attack tomatoes and cucumbers (and melons).
Where did you get your soil to start your seedlings? If you tell me you used sterilized potting soil, that will put me off the Fusarium trail, but if you dug it out of the garden that would make me more suspicious.
I had a bad Fusarium problem when I first moved into my place. I got on top of it by growing a cover crop of mustard and tilling it under. The sulfur compounds in the mustard will kill off Fusarium. So will a lot of competition from other fungi, which is another advantage of
hugelkultur.