Motorcycle Repair: bike shuts down when it gets hot, vintage honda, sport bikes

Question
I have a 2000 gsx600f katana suzuki. I have cleaned carbs,changed filter,(fuel and air) and my bike stalls out about 4 miles down the highway. I pull over put the choke on and it finally starts.It runs fine until I run it 80 or 90 mph then it stalls out. Any ideas please.

Answer
Really not a vintage Honda question, is it?  

Sounds like either the fuel tank isn't vented properly or your fuel pump delivery may be restricted or failing, assuming that it has a pump... a lot of 600cc sport bikes do. Some pumps have a relay that triggers the pump delivery.
Go to BikeBandit or PartsFish sites and look for components you have missed. A shop manual would probably be handy for troubleshooting...

Bill MrHonda Silver