Model compounds for neutral arginine side chains were once built in the framework of CHARMM22 but they were never properly optimized. They were mistakenly included in the toppar/stream directory of certain CHARMM force field distributions but are not in the current one. An improved version of those same parameters is currently in use for the model compounds RESI MGU1 and MGU2 in the CHARMM General Force Field (CGenFF). Following Lennart's paper, MGU1 represents the most likely candidate. If you really insist on simulating neutral arginine, you can try to transfer the parameters back from CGenFF to the protein force field. The usual caveats apply; in particular, the compounds from CGenFF might not meet the protein force field's standards. In my opinion, it's not worth all that effort just to construct an physically unlikely state, but you're free to do it nevertheless

I still don't fully understand what your goal is, but perhaps it would be better to do a simulation with the backbone in zwitterionic state and the side chains charged "as in physiological pH", and a second simulation with the same side chain protonation state but with the N and C-terminus capped with amides. That way, you're comparing two physically relevant species with the same net charge and you don't have to add or remove counterions.