I think all of them would be great cameos for a future Donkey Kong Country title. Maybe you could visit Timber's island, mistake Krunch as a regular Kremling, Drumstick getting turned into a coin (by say The Great Wizard, Houdini K. Roolenberger), Bumper getting his beaver damn taken over by Kremlings, Tiptup being a water navigational help to the Kongs, etc.
I always picked either Banjo, Conker, Diddy, T.T., or Tiptup, because I raced the best with them. Still, Timber was my favorite character and personality outside of Diddy, Conker, and Banjo, just because he had that perceived cool and fearless attitude and nature to 6-9 year old me.
As for T.T., a clock-based platformer actually sounds legit, but I think he would need a partner character.