The stamina number matters, but you also need to take into account number of players a team has available. Most good press teams run 12 guys. Most teams that don't run press are running less than 12. You may have a walk-on who you can't justify playing, a redshirted player, or an ineligible. A lot of the time, you will have a hard time "out-pacing" a press team if you run any other style, because you won't have twelve guys. The best way to beat it is to just have better players. Press is so good in D2/D3 because the range of players available to these schools is much smaller than that of D1, where the top-top teams just have 9-10 studs, and the press doesn't matter. You should also probably take into account ATH/SPD. You can press all you want with high stamina, but unathletic slow dudes will foul a lot and get tired easily regardless.
Basically take into account what you mentioned, average stamina. Also consider how many bodies you have available, and whether or not you are just a better team.