I think around 2k is fine to play upto $33s on stars but if you want to plays 55s and 82s 3-4k should be sufficient. I think all my downswings have been about 2k, its really all down to how good you are and the fields tho.
Atm stars traffic is terrible from scoop and i find most 22s are just 80% regs.
If your playing on other sites tho you can get away with less bankroll management