There was no specific military police version. All modifications were locally made as requirements dictated.
The markings were standardized and those should be in the TB on military markings.
I posted some pictures awhile back on here that showed a MP 1009 in Desert Storm. It had MILITARY POLICE down each side of the front quarter panels and across the front of the hood and on the tail gate.
There was one sold at GL...probably over a year ago now, that had lights in the grille and what remained of some radio mounting hardware.
When we were running convoys stateside about 6 years ago, we had commercial strobe light packages put into our CUCVs.
Other than locally added stuff, you won't find any specific MP gear in the TM.