My OHC-6 68 Convertible is like that but opposite, Completely original top to bottom with the exception of an original style replacement exhaust. My dilema is the top side needs restoration now, or at least a serious body makeover and paint, but the interior is pretty good and the underneath is just fine. I'm torn between a resto or just paint and keep fixing it.
IMO, on yours I'd give it a clean and paint underneath, watch the overspray, maybe even hand mark original build markings. No it won't be concourse, but at a glance it will be, it'll look better than it does now and help protect the underside for years to come. Doing nothing is inviting rust to get a foot hold. It is 40+ years old.
Wanting a Custom fit in an off the rack world.
I don't have time for a job, I just need the money.