Only 16 active "B" teams in the state and ONLY 6 "A" teams in the state. Nothing like telling girls they worked to hard now softball is at risk and only chance to play on the weekends if a parent wins the lottery.
How big is the state? What do those other five 'A' teams do? What other tournament associations exist in you area/state?
If there are 6 'A' teams in your state, then I'd talk to the local USSSA tournament directors and get their advice and encourage them to have more 'open' tournaments. That way, you might have 8 teams show up, maybe 2 of them are A, and the tournament director could place the teams in gold and silver, so the better B teams would be lumped with the A-rated teams, and the bottom 4 B teams could play each other. To say the two A teams can't play because this is a 'B' tournament is ridiculous.
The only real point of A and B ratings are to prevent mismatches in tournaments. But every area/state is different, so the local org's have to set up tournaments that serve their particular area. If the local USSSA is holding only A and B tournaments and squeezing out the A's, then that's not good business, nor helping local softball.
As an aside, I've railed here in the past the fact that A and B is a myth. It's absurd to think that the #6 team in your state is somehow clearly better than the #7 team.
A better system would be to have power ratings of all 16 teams and then have high and low divisions in each tournament if there are enough teams. Split them based on their ranking, not their mythical and arbitrary A/B rating.