So here's how I'd have done TATV, had UPN given Berman the two hours he asked for instead of just one, if they had more time to come up with a better story, and if Frakes and Sirtis just had to be in it...
Post-Nemesis. Riker and the Titan are officiating a peace treaty on Romulus. While there, it is discovered that there's wreckage from the Earth-Romulan war in a museum, and it's the first time anyone from the Federation has ever seen it. Among the wreckage is the "black box" from the long-lost NX-01, which may hold the secret of its disappearance 200 years before. With 24th century technology, Riker and Troi are able to witness the last days of the ENT crew via a holodeck recreation. However, they are just observers, not interacting in any way with the recording. TATV would be presented as more like two people trying to solve a centuries' old mystery instead of some idiotic play-acting in order to make a personal decision about something the audience doesn't care about.
Post-Nemesis. Riker and the Titan are officiating a peace treaty on Romulus. While there, it is discovered that there's wreckage from the Earth-Romulan war in a museum, and it's the first time anyone from the Federation has ever seen it. Among the wreckage is the "black box" from the long-lost NX-01, which may hold the secret of its disappearance 200 years before. With 24th century technology, Riker and Troi are able to witness the last days of the ENT crew via a holodeck recreation. However, they are just observers, not interacting in any way with the recording. TATV would be presented as more like two people trying to solve a centuries' old mystery instead of some idiotic play-acting in order to make a personal decision about something the audience doesn't care about.