And it seems that small native species of bees pollinate the chili flowers effectively in Brazil:
Article Foraging Behaviour of Wild Bees at Hot Pepper Flowers (Capsi...
Pollination efficiency of hot pepper by honey bee, stingless bee, and self-pollination were compared in Indonesia:
Article Application of Asiatic Honey Bees ( Apis cerana ) and Stingl...
However none of the above mentioned studies deal with hybrids in particular. Nevertheless I would suggest that the western honey bee should be capable of this task, probably as well as bumblebees (Bombus spp.), commercially avialable.