My 2 cents; I see that the OP has three choices from cheapest to most expensive. #1 Managed recoil ammo for the 30-06,#2 managed recoil ammo and a limbsaver or kick eez recoil pad, #3 buying another rifle in another caliber. I am a cheap SOB so i would probably go with #2. That being said if you want another rifle, .243 7mm-08 or 6.5x55swede would work very well. i am a 6.5x55 fanboy because with premium bullets it kills like a much bigger rifle. In the 6.5 the 140 grain partition will kill nearly anything, with good shot placement. The 156 gr Oryx bullet will kill moose cleanly. The downside is that you are into a $1000 for a tikka t3. Good luck with whatever you choose. You should have no issue selling a rifle in any of the calibers i mentioned , if you choose to go another way in a while. Happy hunting.
The 7mm-08 offers exactly nothing over .308 or 6.5x55 with similar/same bullet weights.... Both .308 and 7mm-08 use the SAME CARTRIDGE. 6.5x55 is not much different than 7.62x51 which is .308win. The 6.5 does not "kill like a much bigger rifle" it's called physics. The energy in the system is fixed and there's nothing you can do to change that.
Below are some links with numbers from Federal's website. All calibres are using the same bullet. The 6.5 is 10gr lighter(big deal) as there is no 150gr offering which is something to consider if you're after a more untilitarian do all calibre.
6.5x55 140gr
https://www.federalpremium.com/ammunition/rifle/family/power-shok/power-shok-rifle/6555b
7mm-08 150gr
https://www.federalpremium.com/ammunition/rifle/family/power-shok/power-shok-rifle/708cs
.308win 150gr
https://www.federalpremium.com/ammunition/rifle/family/power-shok/power-shok-rifle/308a
Across a standard 200 yard zero all three cartridges are producing near identical velocities with the most extreme difference being a 220 fps gain with the .308win. Out to 500 yards those velocities remain within 220 fps with the 6.5 in the lead, the 7mm-08 only 47fps behind and the .308 220 fps behind.
The trajectory between the three at 500 yards(200 zero) is within 2.4 inches. Seeing as you will either be dialing or holding off anyway at 500 it makes absolutely no difference what the drop is. From the ballistics standpoint all three are pushing similar/same projectiles at similar velocities which means they perform nearly the SAME.only
The energy between the three at 500 yards puts the 7mm-08 out front at 950, the 6.5x55 at 937 and the .308 at 807. Again, nothing to complain about and not a huge difference.
The .243 is not in the comparison as it does not have a 140 or 150gr projectile offering(from Federal). For giggles here's some data.
.243win 100gr(heaviest offered via Federal)
https://www.federalpremium.com/ammunition/rifle/family/power-shok/power-shok-rifle/243b
At 500 the velocity is the winner out of the 4 calibres, not surpising as it has a higher initial velocity but the value is within 230 fps of the slowest(.308).
Energy at 500 is 245 ft/lbs below the 7mm-08 which is the king at 500. Keep in mind that the .243 projectile is 33% lighter and is only producing 25% less energy.
The .243win is however producing around 10" less drop at 500 yards, but again you're still going to have to hold off or dial for the distance so the amount of clicks/hold off makes no real difference.