The length and strength of the pole is the limiting factor. The best solution, for a base camp, it to take and make an outside tripod for suspending the tipi to using the top loop (I'm not sure if all tipi's have a top loop). Then you can even guyout to the outside tripod for additional stability if you desire. Inside tripod would be ok, but I would use smooth materials.
I've done some testing with an inside tripod and a 8 man and snow and my guess is you will need 1.5 " OD diam aluminum for stability, with 1/4 " walls.
Kevin