I have been observing the Space Shuttle since approx 1993.
The visibility depends upon the orbital inclination targeted for the mission. A
launch to a 28.5 degree inclination orbit sees the shuttle climb to the east of the
Kennedy Space Center, directly away from the US coast. This orbit allows heavy payloads to
be lifted (up to around 29000 kg) taking advantage of the Earth's eastward rotation. For
example the Hubble Space Telescope and Compton Gamma Ray observatories were deployed into
such orbits. In this case, the shuttle can only be easily seen between latitude 38 N and
38 S. Far less common is a 39 degree inclination orbit (this provides the maximum de-orbit
Typically used for life sciences / microgravity related missions, in such an
orbit the shuttle can be seen between latitudes 50 N and 50 S. For Mir docking missions
and the future Space Station missions the shuttle is flown to orbits of 51.6 degrees
inclination. From here observers between latitudes 60 N and 60 S can obtain reasonable
views. The highest inclination orbit flown is one of 57 degrees in the case of missions
with an Earth observation requirement. In this case the shuttle can be seen between 67 N
and 67 S.
Naturally the launch time and time of year will further dictate whether any good
passes can be seen.