Tritebond? That would have made a great "Wacky Pack" graphic, back in the day! 
Personally I prefer a very shrinky wood glue like Carpenter's Glue by Elmers. I don't particularly like Titebond II as it doesn't shrink. I don't have experience with original Titebond so can't comment on it. In this application (fin to tube), the shrinking makes for a more rigid, tighter bond IMHO. I like Titebond II for couplers and centering rings specifically because it doesn't shrink and cause Coke-bottle effect.
Elmers White Glue will be fine too. It will hold plenty strong too.
For fillets I recommend Titebond Moulding and Trim Wood Glue. It doesn't shrink, and it's thick enough not to run. Stays where you put it.
Marc
"If at first you don't succeed, Scream and Leap!"
NAR member 92906