I have not rode the tribute or webb, but i have a hard time believing that you will find more speed in the webb considering its blended 3 stage rocker.
if you like the crossover core of the webb or want a bit of flex then you might try the hyperlite union.
if you don't mind venturing with another brand than the humanoid oracle or slingshot response will be fast riding.
other hyperlite boards you might try:
Franchise ***has a clean belly area like the tribute and was shaped by greg N. as well***
the ronix viva is known for good speed and has a clean mid section too.
... Also what is your height and weight? I wonder if maybe your size is slowing you down, especially when the webb your looking at is larger than your tribute. a larger board might be a key ingredient (unfortunately the tribute and franchise do not size large than 142)