You don't want to look like you can afford a 5 piece kit in Punk.Not sure it's just a "jazz" thing. In the hardcore and punk scenes 4 pc kits are the norm. Case in point. The This is Hardcore 3 day fest in philly has over 25 bands a day playing and maybe 5 of those drummers aren't using a 4 pc 1 up, 1 down configuration. I play in a Horror Punk band and use a 4 pc, when I was in my post hardcore band I used a 4 pc. Sometimes it's all you need to get the job done. Not that bigger kits don't have their place and I miss playing my larger kit.
jOe,Jazz drummers don't have the luxury of time to go-
Then you might find the high hat too far left. I hate doin’ a split.Wouldn't two up with the toms on a stand to the left of the bass solve the ride placement? When I started (way back) two up one down was the prevailing norm and the two up were always mounted on the bass.