I'm trying to determine (preferably in %, where 100% is the standard speed for the Pyro, Spy, Engineer, and Sniper) the highest possible speed at which I could travel in TF2 (on a VAC-secure server, so without cheats).
So far, I've got: A Demoman charging (250%) with 4 heads on the Eyelander (+30%), whilst being whipped with the Disciplinary Action (+37.5%) having just won a round (say, of KOTH) (+10%), totaling 327.5%. Also, a Medic, with the Quick Fix, healing this person, would match this speed. Is this the highest possible theoretical speed for any given TF2 class in any situation?
Edit: to avoid stupidly-high speeds (and because it's not very useful), I'm only considering running speed (so sticky jumping, rocket jumping, any kind of jumping doesn't count).