Thank you everyone. I looked in an "old" reloading manual and found a load which may work. The load is as follows:
Bullet : .308" dia, .225 sec. den., .423 ballistic coef., and weighs 150 Gr.
Powder : 760 powder 64.0 to 68.0 grains (bullet speed muzzle:2732-2973)
Primer: CCI 250
I calculated the bullet muzzle energy for this load and it is around 2610 ft-lb. The 180 grain 30-06 had around 2500 ft-pound (both muzzle energy). Some 300 win mags show 3100-3300 ft lb with 180 grain bullets.
Would comparable muzzle energys translate to comparable felt recoil?
Would this be a good deer load? (It seems like it to me and it is not too fast so expansion should be ok)
Hodgdon gives a formula for recoil energy. It varies on gun weight, bullet weight velocity, and charge weight.
I calculate a full house 300 win mag load at about 30 ft lbs recoil energy for a 8.5 pound gun using 180 grain bullets.
Your load listed above is 17-21 ft/lbs which is comparable to a .30-06.
This is sort of a guess, as the gas velocity is unknown. Hodgdon used 4700 fps, I use 1.5 times muzzle velocity.