Marriott does not comp, but they may offer you a challenge stay. In 2000, I had to stay 14 nights in 60 days to get comped to Platinum. It wasn't difficult to do.
If you would be able to maintain platinum with a lot of stays you should position your request by saying exactly that, and that you would be willing to do so many stays in a period. Obviously make sure you can live up to the commitment.
Also, uf there is a particular property you plan to stay at a great deal then you might do well to contact the general manager of the property and explain to them that they should put there two cents in with the marriott service center.