Problem with the Tiger II is that I am not sure a M4A3(75), T-34/76 on Panzer IV H will be be able to kill it. Having a tank that is immune to the free tanks could be a problem. I am pretty sure a T-34/85's HVAP round could kill it from moderate range and making the T-34/85 a free tank might be a needed fix.
After all, a D3A1 can kill an Me262, let alone a P-51D, Bf109K-4, Fw190D-9, La-7, N1K2-J or Spitfire Mk XVI.
On the other hand a Tiger II can be bombed into submission as a last ditch defense, though having killed Tiger I's with 500lb bombs* I can say that it won't be easy to do.
*I had a Tiger I survive a direct hit from a 500lb bomb. I dropped both 500lbers from my bomb bay, saw a hit sprite on the tank from one and the other exploded about 5-10ft from the tank's side. The Tiger driver's response was "That was LOUD!"