RP...I have shot 150 gr. Partitions through a Win Model 70 Classic Featherweight for 2 decades into 100's of deer and pigs (mostly). Never have I found one, through shoulders, necks, ribs, etc., each having passed through the animal and beyond. Early reloads used IMR 4350 with the standard reloader regimes of accurizing but performance was patterning and not groups. I switched to IMR 4831, never looked back, and achieved GROUPS with bullet holes that touch one another at 100 yards, then zero for 200. Case weight, case length, neck thickness, bullet runout, powder charge, and a rock steady rest assist me in performing to my peak.
I found my rifle's "sweet spot" with the 150 gr. NP over IMR 4831 after many iterations with IMR 4350, Speer 100 gr. Spitzer, Speer 150 gr. Spitzer, Speer 150 gr. Grand Slams, 150 Nosler Ballistic Tips (leave ghastly exit wounds), and others (Hornady & Siera bullets). I know the equipment is far more accurate than me.
A 160 gr. NP isn't significantly larger/more aerodynamic/greater BC than the 150 gr. NP. Performance should be similar and the energy delivered within the animal by NP's is significant while entrance and exit hole are neither large nor gruesome regardless of the location of the shot. I have experienced more DRT kills with NP's than all other bullets combined. It is hoped that your results will be satisfactory and aid in an increase in your personal confidence.