The American Urological Association (AUA) does run its own match, though most programs now accept applications via ERAS. That was new this year, prior to that applicants had to apply to each program individually.
As I said, most programs do accept applications through ERAS. Only a few did not this year (Columbia for one). For those programs you must apply separately to the program, have your letters, USMLE scores, transcript, etc sent to the program. It is a huge pain in the rear.
This year a few of the programs that were listed on the AUA website as not accepting ERAS applications actually were, so check with the program rather than relying on another source of information.
This is slightly different than the SF match, since my understanding is that those folks do everything through the SF match (one-stop shopping, so to speak). We future urologists must deal with (and pay) both the AUA and ERAS. Also, we have to register with NRMP for our prelim surgery spot. So, we actually get hit thrice! It'll be worth it in the end, though...