I think you should really investigate as much as possible before getting the tools out. The thing with reproduction of sound is that a lot of things are at play at the same time. The drivers, the filter, design of the cabinet, material of the cabinet, dampening... And it all influences each other. I know that some speakers cabinets are designed to be as dead as possible, others get a lot of low mids and bass from the cabinet, so the cabinet vibrating actually makes the overall design better. Many highly rated speakers turned out great despite being flawed on paper and vice versa. The simple fact that many different brands are highly different designs tells something.
Didn't those Tannoys also come in a floor standing version back then? I'd consider trading yours for those maybe or at least checking out what's different between the two models.
I do know those Tannoys are diamond shaped to reduce internal vibrations, it might well be those drivers and filter sound crap in a simple box design.
I'm just saying there's no saying what you'll end up with if you simply jump in and build something.