I have successfully used on #1s:
Currently 4x Conquest K1A 6.5x55
M8 6x36 1B 270, 25-06
2.5-8x36 1A 243
6x42's 6.5x55
6x36 Swar 1RSI
All above had sufficient eye relief, though if you may shoot from an awkward position, as I did shoot from my elbows/knees while sitting on the ground (long heavy 1B 270 w/6x36), you may have to force yourself to crawl the stock for ER, but I did get that deer
When shooting from a bench or standing, ER was fine but a reverse extension ring via Ruger can help.
Right now I am REAL happy w/my 4x Zeiss and would look at either a Leupold FX 4x or 6x if you don't mind fixed. Very good optics in all and simple.
I rather focus time on making my shot, not fiddling w/power rings but that's just me. A 3x as above or 4x is plenty power for 95-100% of my deer hunting needs, as one only needs to make a shot on a deer, not a bullseye. Generous ER and FOV only make you faster to get a good sight pic, and the modest magnification will shrink wobbles we all have, so you can focus on the SQUEEZE to make the kill.
Good luck.
