I don't run heat tape with my RHPs but I assume it works the same way. I found the heat generated from the RHP to be more than sufficient...but it doesnt hurt at all to use the tape as well.
I would mount the rhp over your heat tape on one side of the enclosure. Then take the thermostat probe that is hooked to the rhp and run it into the opposite (cool) side of the enclosure. Let it hang an inch from the bottom of the enclosure and set it to your desired ambient (not hotspot) temp. In a 68-71 -degree room this gives me a 90 degree hotspot under the rhp when I set the desired ambient to 80. Hope this makes sense. Everyone does it differently though.
Proportional will work just fine. I have used a pulse proportional VE-300 for six years flawlessly.
+1 here. I do something very similar and I use a heat mat as well as a RHP in all my pvc cages.
Only I keep the probe on the same side as the RHP. Make sure I get my hot side where I want it and the cool sides usually settle right in for me at least.