Let’s take a basic shuffle beat and throw in quarter-note triplets (every other note of the 8th note triplet) with the different limbs while playing the shuffle. Here’s a basic shuffle pattern.
Then play quarter note triplets with the bass drum, snare drum, hi-hat (with the foot), and ride cymbal individually. Obviously, you have to break the shuffle pattern to play the quarter note triplets on the ride.
And finally, move the snare hand around to the toms.
These give the beat a polyrhythmic feel and can also give you ideas for fills. Once you feel comfortable playing these examples, go back and try them with the jazz ride pattern instead of the shuffle.