You won’t have any problem in that size catamaran
. I’ve gone through a few times on a friend’s Manta
42. There are lots of cleats
to grab on the lock walls, and the typical lift
/ drop is usually less than 2’.
As for anchorages
, there are several places to anchor
inside the lock to the north, just stay south of the power lines. The only drawback is there is no good shore access and it’s a long walk to get to stores if you do manage to land. Lots of traffic noise
You can also go west through the barge canal
north a bit. There’s a nice anchorage by a spoil island on the east side of the ICW
just north of the NASA Causeway bridge.....much quieter there.