Now matter how you configure it, you will be trying to push heat through a thickness of melamine. Assuming that the bottom is made of the same thickness as the top, it doesn't matter where you put it, except for what is happening on the OTHER side of the heat tape. If the heat tape is on the back exposed to air, then the vast majority of it will go into the air, and very little will push through the melamine.
Everybody is afraid to sandwich heat tape between insulators for fear of excessive heat buildup. I have not tried it, but I'm very skeptical that this would be a problem in general. You MUST experiment to be sure that it is safe but when I run the numbers it looks fine. I agree that heat must escape somewhere, or it will just build up until the heat tape melts, but I suspect that leaving one side completely open to air is WAY too cautious. It's not about "never sandwiching heat tape", it's about makeing sure that the heat has somewhere to go so that it won't build up to the point where the heat tape laminate melts, or the "sandwich bread" combusts. For example, if you sandwiched heat tape between styrofoam on one side (a fantastic insulator that lets almost no heat through) and a sheet of 1/8" aluminum on the other (one of the worst insulators that conducts almost all of the heat through easily) the heat would all flow out the aluminum side and never build up at all.
Here's what I would do:
Sandwich the heat tape between a good insulator on one side and a lousy insulator on the other, and have your snakes on the lousy insulator side. I would make the back of your cages out of something thin, like the 3/16" or 1/4" panelling they sell to line shower enclosures or make dry erase boards. It is easy to clean, but thin, so it will allow heat through without much of a fight. Tape the heat tape to the back of your enclosures and then cover the back (and the heat tape) with a sheet of styrofoam. The heat will only be able to escape by pushing through the thin backs of your cages and heating them.
This set up would be very efficient, so you wouldn't need very wide or very high wattage heat tape, unless the air temp in the room gets real cold. Consider 3", or low wattage 6".
Also, I HIGHLY recommend you install a thermostat to keep things from getting too hot (this rig will be REALLY efficient, and once the cages are warm it won't take much to keep them there, unless they are out in the snow) and a rheostat to limit the max amount of power that will be delivered (a good idea in case the thermostat breaks or the probe finds a cold spot.)