At the time of the founders, common citizens could legally own cannons.
Framers intended for individuals to be able to own weapons as powerful as what was available to the military at the time. I'd say framers wanted us to be able to legally buy tanks (with the gun still operational!).
Sure. Just make sure you can pay the tax stamp, the cost of the weapon, have property to put it on that is capable of storing an explosive according to local regulations, and can ship to that property which probably requires more permits.