If I were in your position, here is what I would consider. They all would work well with the lenses you have.
1. If I already had a Nikon F, I would get a second one but in user condition. An add-on motor drive is available but it would not be interchangeable between bodies. The F, however, would not give me the 1/125 second flash sync that I need.
2. A Nikon F2 because it would give me the interchangeable screens, interchangeable view finders, 100% view finder accuracy, and mirror lock-up that the F has. An add-on motor drive is available. It can use some of the Nikon F accessories (focusing screens, flash mounts, and some view finders). It would not, however, give me the 1/125 second flash sync that I need.
3. Nikon F3 because it would give me the interchangeable screens, interchangeable view finders, 100% view finder accuracy, and mirror lock-up that the F and F2 have. An add-on motor drive is available. It would give me an auto exposure feature that the F and F2 do not have. However, it would not give me the battery independence that the F and F2 have. It would not give me the 1/125 second flash sync that I need.
4. Nikon F4 because it would give me the interchangeable screens, interchangeable view finders, 100% view finder accuracy, and mirror lock-up that the F, F2, and F3 have. It has a built-in motor drive. It would give me more extensive metering and auto exposure features than the F, F2, and F3. Plus, it would give me an auto focus feature that I could use if I ever decided to get auto focus lenses. It would also give me the higher flash sync feature that I need. However, it would not give me the battery independence that the F and F2 have.
5. A Nikon FM series camera because it would give me the battery independence that the F and F2 have. An add-on motor drive is available. It would give me the higher flash sync feature that I need. However, it would not give me interchangeable view finders, 100% view finder accuracy, and the true mirror lock-up that the F, F2, F3, and F4 have.
All five are well made cameras that I would not hesitate to use or recommend. I have used all except the FM series. I am still using 2 of the 5 (the F2 and F4).