If you're hunting with a 7mm Rem Mag, and Georgia sized deer, then there shouldn't be any tracking anyhow with well placed shots. Most I've ever seen them run was about 2-3 hops after hit behind the shoulders, and that's jacked up after being chased all day. Even shots with .243's they seem to run about 40 yards and pile up. That's not much for tracking as far as I'm concerned, but I have no clue about you're hunting situation.
As stated, go for the 150 grain Balistic Tips or Hornady A-Max's if you're looking for damage.
Neck shots will drop them with any centerfire caliber and bullet combo. If you got a good accurate load, I'd stick with it. But 160gr Solid coppers...i wouldn't expect anything more than the basic mushroom effect. Hence the 1" exit. Those bullets are working as they are designed to...Weight retention. Go down to even 130-140gr in BT's or A-max's and all you'll be putting holes in them, that's for sure. Weight retention, yeah right. I can normally only pull out a flattened jacket from my sand box. Me...I kind of like my meat, so I tend to stay away from granade type bullets on deer anyhow
ha ha
I actually handload some rounds for a fellow that wanted 150gr BT's in his 7RUM. Good Lord he must like to make holes.