My dear Mrs toes: this bicycle cries out to be a fixed gear.
And this is not something I say lightly (OK maybe a little).

With a sealed BB unit with square tapers, a scrounged up alloy
crankset, and a set of decent 700c alloy flip flop hub wheels,
you would rock that "super bike" (lol) all over the hinterlands.

One vote here for "just do it."