I went through the same decision between the two and chose the PRC. I'll be mostly hunting deer and elk every couple years as I build points. I've shot both calibers braked and not braked. I will say I really enjoyed the PRC at the range more and shot it better at distance. PRC braked or suppressed is very comfortable and I'm able to follow through better and see impacts.
^^This^^. 6.5 PRC. Especially if your planning on buying a off the shelf rifle
In regard to on game bullet performance
Both your choices have good options.
Know your bullet operating design characteristics & specs. & run em accordingly (ie: shot placement, & min/max velocities)
Chances are your only going to be shooting 1 or 2 types of ammo.
The 156 has a high sectional density.
use the right bullet and stick it
IN the vitals.
For Deer/Elk at your 500yd. Distance
& even further. 600-800
The PRC is more than capable, & I feel
For me gives up nothing to the 7mag.
So to answer your question is the extra
Recoil of the 7RM worth it ..... Nope !!
Might consider a short barreled suppressed 6.5 PRC,
I find the PRC to be pleasant to shoot.
I can & do shoot mine more often than
My previous larger 284 & 30 caliber rifles.
And more accurately.
I prefer something I will shoot a lot,
Get proficient with, & gain confidence in.
mine runs 156 Berger's as well as factory
Ammo.
If you decide on the PRC, & want to run the 156, Look for something that has the action/mag length to accommodate.
In a 7mm I'd probably go with a SAUM.
ADG makes brass for both.