Hahaha, see what I mean about the analog being inaccurate??
You're gonna want to get those temps up.
My advice at this point would be to unplug the heat mat and leave the lamp on. At least the snake can't come in direct contact with the lamp.
But you definitely want to get your heat sources regulated. The good thing about them, aside from them keeping the animal safe, is that once you get your temps dialed in the tstat does the rest and maintains your temps.
All you need to do is check daily to make sure everything is functioning properly.