The roster number is a curious deal. I pulled up Itawamba Community College's (Fulton, Miss.) 2018 roster and they have 46 guys. I did the same with East Mississippi CC's roster and they have 55. I'd think those two totals are probably about average.
It's a two-year program in every case - how many guys could you legitimately expect to coach up and improve in two seasons, let alone play?
Independence CC (Kansas) lists 82 guys on their 2018 roster, so even if the 200 number is complete BS, it looks like they're dressing out and practicing twice as many. On the show, Coach Brown is asked by a guy how many players he has, and the guy asking guesses 150 - Brown says it's more like 200. I have no doubt there could very well be another hundred or more there associated with the program who haven't won a jersey. This makes it seem like he's running a racket.
I've enjoyed Last Chance U because it really spotlights a fact about CC football, which is it's as fast and violent as any brand of the game you'll find anywhere. There's virtually no real academic qualification required to go - In Mississippi you have to have graduated HS or gotten a GED, and you have to have taken the ACT. Just taken it, no certain score to make to enter - and there are hundreds of guys every year who miss out on D1 offers because of their grades. I've seen some unbelievably athletic play at the CC level.