Generally, an inferno is a very large and uncontrolled fire. If anything, a BBQ is supposed to be a controlled fire, at the right temperature, to cook your food. Hence, I'm not a fan of the pairing, going by the perception that customers could have of it. Hard to sell, IMO
The only exception to this would be if you had just "inferno dot com". A brand like that is so strong, to the point of it getting a pass in most circumstances, regardless of the purpose
PS Welcome to the community