Wow Tim, that looks like an orchid incubator ! Does the top have ventilation? If not, I would say you might have some nice rot growing in a few days.
If your temps are normal(not cold) I would say there is no need for the heating pad....it might cook the orchid ??
I too, have a fairianum with no roots....I just repotted it to a smaller pot, used some rooting hormone, and pray over it daily
It is not dead yet ,but I haven't checked the roots..it is growing top leaves, which I hope is a good sign.
Good Luck !