I've never had an issue with this, I don't have tubes either and just accept that gas dripping on a hot engine is a bad idea.
What you describe is more likely to be either fuel flow restriction or the tank vent is blocked.. Try staying on the throttle and opening the gas cap a crack when this happens (not with a full tank that may spray fuel all over you from the wind)?
If you have an inline fuel filter, check for clogs or an airlock in the fuel line. These can let fuel through fast enough for leisurely riding but not for maintained high speed work. If not, check the in-tank filter sock for clogs.