Virus are the sticky bit the oldest know virus has been found alive after 12000 years (small pox) so it is hard to say for sure. they are also very hard to kill.
Is the melamine sealed?
The substrate is a good medium for bacterial, viral, and fungal to maintain. It is also very hard to clean as there is a massive amount of surface among the particles. If the rack is fully sealed no particle board exposed anywhere I would suspect there is a very good chance of a effective clean. If there is open particle board I would say there is no way to fully clean the rack. I would think there is a small chance of leaving unwanted 'guests' regardless of how carefully cleaned the rack is.
personally I would get rid of a melamine rack based solely on the out gassing issues associated with it the effects of formaldehyde are unknown on snakes but they are know to be a human carcinogen.