Sounds like a proper model, you won't need to do buy backs and burns then, if you have a HIVE/SPORTS and BTC/SPORTS pool that rewards users then you can simply use the revenue from ads to keep encouraging a bigger pool

The bigger the pool, the more tokens are pulled off your order book, the more tokens pulled off the order book and paired with other tokens, the bigger amount of buys and sells can be executed with less slippage

In theory it should also improve the price with less tokens hitting the market,