I think the little raised platform on the RRS series 2 base is 53mm in diameter. I believe it's for raising the height of the BH-40 ballhead so the lever ball locking knob doesn't foul the tripod base. The diameter of the BH-55 base is 73mm so you'd have quite a bit of overhang there.
Generally the BH-40 is paired with a series 2 tripod and the BH-55 is paired with a series 3; that's what RRS recommends. If you're taking the rig on trips the BH-55 is heavy at 1.9 lbs and you might want to consider a lighter combination. The BH-40 is much lighter at 1.1 lbs and you might also want to look at the Acratech GP-ss which I think weighs 1 lb and has a 53mm base so it would be a good fit on the TVC-24L.