Here's an idea for an easy-to-make (and inexpensive) working base that has saved more than one of my ship models from those unexpected "capsizes." The 1x2 is enough weight that, even over short distances (i.e., workbench to floor), it self-rights before most impacts. It also makes it tons easier to work and build, paint, and even mask waterlines and such without constantl having to grab the hull. It lets you reach any angle (depending on the length of your screws), and is a built-in fixture if you decide to mount the model on a base when it's done. (If that's the plan, make sure you measure carefully for where the screw holes go.)
As always, excuse the crudity of the drawing:
I have two, one for 1/700 and one for larger scales. The only caution I'd add is to make sure there's enough room inside the hull for screws to go in. (Your BB shouldn't be a problem, but destroyers and torpedo boats can be tricky.
Just a thought.
Greg