While you can pay your dues by renting, it also doubles your capital outlay. So, using a lower cost example...
Dues are 6.59/point for AKV.
I found a loaded 100 point contract (40/200/100) for $102/point, so $10,200, with annual dues of $659.
I found a not-totally-stripped 200 point contract (0/11/200) for $87/point, so $17,400, with annual dues of $1,318.
First, we have to assume you have the discipline to actually rent them. Keep in mind the rental income is taxable, which can impact things depending on your finances as a whole. We also will assume you are paying cash for either contract; financing to "pay dues!" is probably not going to work out when financed at 8-14%.
Renting 100 points at $12/13 is $1200/1300. This will not cover the whole of your annual dues after taxes. You will also be out an additional $7,200, which is about 8-10 years of dues right there. So the long-term ROI on the additional initial outlay is complicated, but even if you rent your points privately ($1500/year), after taxes you are only covering dues and never the initial expense.