Neat rifle!

I have a similar sporter in 6.5x53r and have found Winchester 303 brass to be the best for reforming into this cartridge.
If I recall, some other brass was a bit tight at the base, rims might have been too big in diameter or whatever, but the WW brass worked beautifully.
Running the 160gr SNRN it's a ripper, amazing -- almost unbelievable how well the hornady penetrates. I'm sure the woodleigh works similarly well.
Use a chronograph and get a good load running for your rifle.
You'll love it.

Cheers
Tinker