Yes, NASP has courts.
Yes, for some unknown reason, there is a racquetball community in the Navy. It's almost freakish. Aside from the recquet club my parents belonged to when I was a kid, I never played or heard of anyone playing racquetball. I started hearing about it here and there when I first got in the navy. I fought the invitations to play as it seemed rather gay. A few days ago I finally gave in and bought my own equipment because I was tired of the flacid rackets, scratched goggles, and lame balls that they loan out at the gym.
Now if they would just stop scheduling me for classes and flights so I could get in more court time....