I actually think these recruits are plenty fast enough to press. The guards should be fine, the SF is very fast and the only really slow big guy, Walters, has very nice athleticism.
The biggest impediment to pressing, in my mind, is the four low stamina bigs. I generally want players who will make it over 80 when I'm pressing. You might still be able to do it, though, since you have six PF/C's on the roster.
I think if I was handed that team, I would press. Just plan on using all six of the big guys at first -- and my guess is the 3rd string guys will still get 10 minutes a piece -- and then replace them with higher stamina guys in the upcoming seasons.
I can't see your particular Big Sky opponents, but I just No. Arizona in another world and I would think that roster will be successful pressing once their IQ's are high enough.