I believe that Binance is too big of a shot to shoot, and there isn't a good enough reason to go for it. I know that getting listed in multiple places before Binance could either work for you and increase your volume, or not work for you and you will be delisted and that would be ever worse for you because why would Binance list a token that was delisted from somewhere even smaller.
But that is a risk most tokens take, and instead of taking that risk, BFG could also wait for the bull run, which means it's going to be fine in the long run and it will be doing fine for everyone. I know it's not going to be easy, but waiting is the best solution.
Actually don't expect to be listed on binance if the project has not met the criteria to meet the trade listed submission proposal, but it's not the main goal of every project to be listed on binance as the team is focused on project development to provide utility to users and holders, so it's time for the project With already developed strong community, high trading volume, potential project category then it will be easy to shoot proposals for listed trading on Binance.
Me too, the problem is we didn't know the policy for the gambling tokens and gambling token doesn't have a lot of demand too. I rarely seen the gambling tokens gone to the top exchange sites. I guess liquidity was also the main problem as you said above. The problem is it seems like there was a policy about preventing the top tier sites to listing the gambling token. Binance will give free listing if that was a potential project who have sent an application to binance