Just spitballing from the builder - but I think you can prossibly FIT a B5 or other stop-tailpiece Bigsby, but definitely NOT a B7 style (endpin/archtop style). The B5 does look like it needs some flat after the stop tailpiece studs, and the Musiclander has a couple inches - it looks like there's about as much room between the bridge and tailpiece as between the tailpiece and end of the body. I wouldn't give up without asking - maybe over a TDPRI or some other forum.
I think it maybe depends on how close a B5 could be placed to the bridge before either the break angle was too steep or the strings hit the back of the bridge.
If using the standard TOM/STP position with a Vibramate, I'm pretty sure it would hang over the end of the body, as it comes quite close to the end on a Tele and the Musiclander looks like it has quite a bit less space than a Tele.