Hands down the Anvil-30. It seems to provide the stability of a leveling base without the loss of maneuverability. The Anvil-30 was purpose built for rifle usage.
After trying both the BH-55 and TA-3, I ran with the TA-3. There was a definite difference in stability between the BH-55 and TA-3 leveling base. Also did not favor the turn knob tensioner on BH-55. Running the TA-3, I lived with the loss in maneuverability and degrees of movement. Then, along came the Anvil-30, and now have maneuverability back. It also seems to be on par with stability, comparable to that of the leveling base. I really like the clamping tensioner of Anvil-30 (vs a turn knob). Able to dually manipulate tensioner while controlling forend of rifle. This is because your hand is on the part that moves. Whereas on the BH-55, I found my hand jumping to finesse turn dial. Then back to the movable ballhead/forend. When back to turn dial, sometimes I'd have to counter rifle movement with just the trigger arm. Until I got tensioner set right then back to two arm. On the Anvil-30 this all happens simultaneously--set tensioner while still maintaining control of rifle with two arms.
If you decide on Anvil-30 you'll be needing the fixed apex vs the versa apex (TFCT vs TVC). Which is good because this packs up narrower. You might want to check out the 2 series vs the 3 series. This seems to provide all the stability needed along with the necessary load capacity requirements. Also the 4 leg section vs the 3, this will pack up shorter, if needed. If I had to make a specific model recommendation for your criteria, take a good look at TFCT-24L with Anvil-30. Otherwise if you want to stick with bigger and beefier legs, run with the 33's. Hope this helps.