on a larger sample size (full regular season + conference tourney) , my D-II FCP/ FB team comes in as follows using your formula.
23 fouls drawn, 27 FTAs, 82 possessions per game. And I even ran all season on uptempo. My totals are much lower than yours, so it may not be the magic bullet quite yet.
My SOS was 32 and RPI 5. I'd be curious about the quality of the teams you played. If you were significantly better, you should draw more fouls.