Rhythmic Training by Robert Starer is used by other instrumentalists.
I differ a little bit in approach, because I think that experienced musicians don't count (though of course they can) but have internalized the common rhythms over time. You should not have to count a dotted quarter eighth note rhythm, or an eighth quarter eighth pattern; you just know what that sounds like because you've heard it a zillion times. There aren't that many common rhythms that you can't just memorize them by rote.
I played a gig Sunday with rhythms that were impossible to count. A samba rhythm: fast cut time, pattern is quarter quarter eighthrest eighthnote eighthrest eighthnote eighthrest dotted quarter. Maybe you can count that, I can't, but I can play it.
When in doubt type the rhythm into a notation program, set it to playback in a loop, listen until you can't get it wrong.