Simulating the Apollo 11 LM Ascent Stage Orbit [pdf]
github.com
github.com
If you say bring the LM back to the Smithsonian, for atmospheric entry you'd need something like a Starship with a widely opening fairing, a rigid mounting system inside, and maybe a manipulator arm of some kind to capture.
Given that it would have to have a high thrust-to-weight ratio, you could probably push things pretty deep, relatively speaking, into the atmosphere so that they would have a high decay rate while the tug can muscle its way back out.
The Ascent State was 2.8 x 4.2 x 4.04m with a dry mass of 2150 kg.
The Shuttle's cargo bay was 18 x 4.6 x 4.6m (at least...can't find a depth weirdly) with a return-to-Earth payload capacity of 14,400 kg.