The Museum of American Speed is truly amazing. All Gearheads should visit at least once in their lifetimes, whether the 77 is there or not. If it is, I'd guess they may have put it alongside the neat exhibit featuring Flatfire.
For my first visit there, I was in town for the SCCA Autocross National Championship (the world's largest automotive competition event). SCCA made arrangements for a special after-hours viewing for entrants, and I was completely blown away! In addition to many historically-significant race cars, the assemblage of ancient speed equipment and engines is unbelievable! It really is Gearhead heaven. I've returned a couple of times since, and I look forward to visiting again.
There is one big problem with the place, though - its daily hours are too short! They're always closed on Sundays. From May to September, they're open Mon-Fri from noon to 4:30, and 9am until 1pm on Saturdays. From October through April, the hours are the same, but they're closed Tuesday through Thursday. My point is that if you only want to check out the cars, you can probably do it in a single day. But if you're REALLY into the old, rare engines (Millers, DOHC Studebakers, quad-cam Indy Fords, V-16 small block Chevy, Offy's, and many, many more) or speed equipment (literally hundreds and hundreds of flathead intake manifolds and heads, etc.) or pedal cars, toy cars, and more spread out over the large three-story facility, then you'll need several days to take it all in.
Jeff in Boise