What started me going was finding this board. I dug the ol/270 Win (Mauser Action, Douglas Premium 26" bbl and Fajen thumb hole stock). Had been using it for 30 years on yotes, chucks, mule deer and one very unlucky moose.
I set a paper plate at 300 yds and started shooting my old trusty standard load. 130gr Sierra Boat Tail and way too much IMR 4350). Average MV was right around 3190. Accounted for many yotes and a bunch of deer.
Well, guess what? Years of that extra 4350 did the poor barrel in. I could barely keep the shots on that paper plate @ 300. Took a look at the throat...no rifling for quite a ways up the barrel.
Sent the barreled action off and had a 27" Lilja barrel in 270 Win. Now she's shooting really well with 140 Hornady Interlocks and RL-22 again at 3200 MV.
I worked up the drop charts and started stretching things. Before I transferred ownership of the rifle to my son, 1 gallon milk jugs were dead meat at 640 yards. I'd say that the cartrige has the umph for deer sized animals as far as 800 yards, my confidence begins to wain at 700 yards, just on the energy levels.
The 270 Win will stretch out more than one would think.
Key to the system would be immediately after fine tuning the rifle for max velocity and accuracy, the addition of a good scope. There are many to choose from. I would be good to get one with target turrets calibrated in the same units as the retical (MOA & MOA/MIL & MIL) Mine has an MOA reticle and MOA turrets - what a bummer!
Also clarity is as important as power regarding the scope.
RE: your velocity of 2950 MV. Thats about typical published data on the Winnie. However, with Winchester brass you may be able to get a boost in velocity. (harder brass and greater capacity). I'm assuming that the brass you are using is a bit soft. I know nothing about teh brass you are using but, hey, a fella has to have an opinion about everything.
BTW, I gave the Win to my son as it had a right handed thumb hole stock and I had to switch to left hand shooting. It was a good excuse to make the move to a 270 Allen Mag.;)
Good luck with your progress. Keep us posted......