I have owned both and each has its advantage. My Bestop was a vinyl and looked great with easy wipe of care and a nice sheen about it. It bad point was if it was cold or cool out it shrunk and was hard to stretch to snap on.
My current Rampage fit perfect 1st time out and goes on easy if it is hot or cold outside. Cleaning care is easy with soap & water. I coated mine with a product called Rag Top. (I use this on Corvette drop Tops.) It makes cleaning easy and I can easily Armour All it for a sheen if desired.
I also got the tinted windows in the Rampage Top. These are a must if you are in an area the the temps get high. I would say the temp drop is an easy 15% gain.
Tux...