Beautiful sporter there, superbee, marvelous stuff!
Absolutely love these things!

Not meaning to dwell on the obvious, but I'm thinking it is a sporterised SMLE No.1 Mk.III, rather than a Lee Speed. As I understand it, the 1930s build date is well past any Lee Speed manufacture.

Does it by any chance have Lee Speed markings on the action somewhere?

Because of the charger-loading bridge, there are a number of one-piece mounts to choose from that will fit this rifle.
Unfortunately the commercial examples are mostly ugly and agricultural, but a custom bridge-mount in the 'proper' style could be easily made.

When it comes to scopes, my vote would be for vintage German or Austrian optics, but vintage American would certainly look good too.

Looking forward to seeing photos when its properly set up with good glass.