The Cloyes TB is Continental.
The Gates belt might be worth buying since Gates is the OE supplier, and for some V6 Hondas even the aftermarket Gates is from Unitta/Japan.
Buy the Gates kit without the water pump, and get the WP from the dealer. The Hydraulic tensioner assembly isn't included in the TB kit, so buy it separately.
From Rock Auto, buy the Gates TCK329 timing belt kit and the Aisin BTH001 tensioner. And of course, the pump from the dealer.
The water pump is driven by the timing belt, so you should do it. Some people report an annoying warbling noise with the Aisin WP in the Honda V6. It doesn't cause any damage; it's just annoying. It's caused by a mis-casting at an angle. Honda sells a shim to correct it, but you're better off just buying the pump from the dealer.