Since the Mooncaster is a carved top, you would use the Bigsby B7 (B7G for Gold).
Also, I would recommend using a Wilkinson brass roller bridge...
You can
get them here for $24.95, or $26.95 for gold.
The rollers prevent string hangup, and the thing locks to its mounting posts so it doesn't wobble around.
I would also recommend locking tuners and a low-friction (Graphtec) or roller (LSR) nut. Put all that together, and you end up with a fairly repeatable action out of the thing.