I went over year gigging only a 2pc (kick/snare) with just my 18" Zildjian uptown ride and not a single other anything, this was a theatrical group with costumed performers with 4 albums of original material spanning styles from psych rock to surf rock to spaghetti western to prog and anywhere up to 12 musicians on stage at a given time.
I used a 2pc (kick/snare) with hats and a China all running through a delay pedal and effects board with a live sound manipulator who was basically my second half for a live improv heavy dub band.
I was in a thrash cow-punk band where I played standing up with just kick, snare, and ride for our loud (and I mean LOUD) gigs and literally just my snare drum and brushes for our 'acoustic' gigs (same parts and intensity... Just 'quiet').
I've got a gig coming up where I am filling in for a friend's band AND being the house drummer for a hip hop show (they are opening, it's the same gig) simultaneously, I plan on running just kick, snare, and hats allllll night (like 4+ hours of material I'll have to just flow with and hope I don't fall off the tempo of the samples/backing tracks for the MCs).
You do you man and don't let anyone tell you a damn thing otherwise. If you are confident in your playing that will come through regardless of what you use.
Chris Frantz (Talking Heads): 5pc w/ hats, 2 crashes, no ride. If his rock solid four on the floor didn't make your hips move then you have no soul and he didn't use a ride.