miller: I really doubt if the weight is that important on track bike. I am not trying to argue but to point out my perspective as a 60+ year old cyclist.
Aero is everything except for power available. On my upright bike, a 17 pound carbon Trek road bike, I can push it to about 28 mph for a short burst. but am comfortable at about 18-20 mph on a smooth road with little wind. On a simple, mostly faired recumbent (weight about 36pounds), I am comfortable at 22-25 and can go about 35-37 in a sprint.
If you have the option, put pedals in your electric cart. You will win.
I remember a solar contest in Japan in 1994. A VARNA was sent over with a small solar panel on the top and it kicked every other solar bikes butt. The rider was Myhee. He had just set the 24 hour record of 633 miles and was hot. I rode with Myhee in Michigan 25 hour in 2004 and spent a lot of the ride talking and hearing about his exploits. At Michigan he carried a bugle with him and every time I saw him during the night I was rewarded with a tune.