Yeah DrewMit, you get the resources whenever you cut a player that you didn't sign, whether it's right away or the next season. The moment you cut them, you get the resources.
In your example, if you cut him right now, you'll get the walk-on (open scholarship) and resources available for RS1 of next season. If you want until RS2 of next season to cut him, you'll still get those resources at that point.
If you think you'll be competitive next season, it might be worth holding onto him as a 12th player, but I would think the additional resources for RS1 would be more valuable (i.e. cut him right now and take a walk-on). If you're not running fastbreak offense, you can use the slow-down and should be still be okay with 11 players for next season.