Whoops! American chestnut sprouted too soon

Hi everyone,
I have a little problem, I was cold stratifying some American chestnut nuts in the fridge with the hope that I would plant them in the spring. Well I checked on them yesterday and they sprouted while in the fridge, it won’t be spring here until May.
I took them out of the zip lock bag they were in and planted them in air pruning bags  under some grow lights. The bags are quite deep, made for tree seedlings 12” deep.
Do you think they will be ok indoors until then?
I would hate to lose them seeing as they are quite rare nowadays, particularly around here.

You must have a good cold hardy line.  I do cold stratification and start many other type of trees early here in Ohio.  I have found growing them that way they seem to get a better start.  Here I plant them in June so they never see frost till fall.  Good luck.  I would love to get my hands on a few of them for our farm.  I have only ever seen 1 true pure American chestnut in Ohio.