I personally havent used that round or a 7mm-08 so take this with a grain of salt. I have shot barnes out of my -06 and they performed pretty well. Never taken deer with it but man does work on rabbits! if your rifle likes the round then you should be fine
I've never used a 7mm-08 or barns bullet, but I have used a 7mm Mauser and the ballistics are almost identical. Personally I would want to go with at least a 140gr bullet minimum. I've loaded some 162gr Hornady's for this coming season.
You don't need a premium bullet for white tail. Pick a more cost wise bullet design from most anyone.
hornady 12ogr or 139gr sst . I have used the 139gr sst for years in a 7 mag but it has allways work very well from 25feet to 385 yards.
If you have the barnes then try them and make notes on how they shoot. They would be fine on a elk for short to mild range and they well do on deer just kinda costly.