"...any surplus 30.06 ammo around?..." No. It hasn't been used, Stateside, since the early 70's. I've never seen cases of .30-06 M2 ball, including when working in a gun shop, 30 years ago.
20 round boxes appear at gun shows, occasionally. It won't hurt your rifle, but it won't be particularly accurate either. Unless it's Match ammo.
You'd be better off reloading for your rifle.
"...Most surplus ammo is corrosive..." U.S. made M2 ball hasn't used corrosive primers since the early '50's. U.S. made .30 Carbine and 7.62NATO ammo never used 'em. European ammo certainly was though.