I took a look at Coleman's website and they have the Phoenix Faucets RV Outdoor Shower Box item # PF266201 listed as a replacement part for the entire outdoor shower. The Replacement Shower Valve w/ Vacuum Breaker item # PF223242 would give you just the faucet for that set up.
We also have these same parts in black;
Phoenix Faucets RV Outdoor Shower Box item # PF266701
Replacement Shower Valve w/ Vacuum Breaker item # PF223701 view full answer...