It's just the weight of a bike doesn't really matter much on track, therefore track bikes are made heavy but stiff. Heavy is the opposite direction this project was supposed to go, nah?
EDIT: If focused on the weight you can always try to go for a road alloy/carbon frame and have little bit fun with halflinks and fitting right cogs, chainrings. That would be the easiest gain on weight not being spendy at all.
It's just the weight of a bike doesn't really matter much on track, therefore track bikes are made heavy but stiff. Heavy is the opposite direction this project was supposed to go, nah?
EDIT: If focused on the weight you can always try to go for a road alloy/carbon frame and have little bit fun with halflinks and fitting right cogs, chainrings. That would be the easiest gain on weight not being spendy at all.