The simplest mod would be to ditch the centre pole, and use a bipod to support the lavvu.
The bipod could be a pair of walking poles, or a couple of long sticks. Having a bipod free's up the centre of the lavvu to give more usable floor space.
Another simple mod, is to sew a tie off point to the apex of the lavvu, so that you can suspend it from a ridge line, an overhead branch or an external bipod.