Feels like a bit extra for me, but I dont see why it shouldnt work. 22 C sounds fine, in my experience everything between 20 and 25 works pretty well. Humidity would be high enough, you would have to transplant them into soil after three days with a strong taproot. Would love to hear back from you if it worked!
A tip if you wanna try something else: I use wet papertowels inside a ziploc bag, which is probably the most standard version. But I store the ziploc bag upright during germination, by example between two books standing upright, which will always end in a taproot growing straight down. Makes for an easy transplant later on. You can check out my latest diaries to have a look at their taproots :)