I see. Is your car like this one?
If so, do you know whether there is an inspection plate under the built-in trunk? I'm just looking for a way to save you dropping the tank.
I would expect an inspection plate on all of the cars from these years, so that the sending unit wires could be connected or disconnected with the tank in place. Otherwise, you'd need a long, loose length of wiring harness to allow for connecting the sending unit with the tank on the floor.
On my 1930, to remove the (empty) tank, the first step is to go through that inspection opening and disconnect the fuel gauge sending unit wiring. Then remove a vent tube between the tank and the upper part of the filler pipe, disconnect the fuel lines at the tank (mine has two), disconnect the tailpipes at the muffler, undo the clamps holding them, and remove the tailpipes (mine is dual exhaust). Place a jack or dolly underneath the tank. Then there are three bolts (two in front and onw in back) that fasten the tank to frame cross members. Undo those and the tank can be lowered and removed.
Hope that helps.