Yes, it definitely makes sense to give the special seedlings special treatment! At least until you have an abundance of special seeds to work with, maybe next year.
(Laugh.) “Frost” and “rain” are almost synonyms in my climate. Our last frost usually happens at the same time as our last rain, and our first frost usually happens at the same time as our first rain.
Whereas here where I’m at, we had our “official” last frost date on the 15th, our actual last frost this year was the 6th, and we’re just about to head into our spring rain/storm season.