try kingsford with the mesquite pre-added into it.
I've also put a slightly higher rack in the offset box to have more room for the ash to drop. (you can do this by slightly bending the one you have and flipping it over).
Black Weber 22.5", Happy Cooker 22.5", Red Web-her 22.5"-H, Brown Weber 22.5"-1970-1979 era best guess. Wine Oak Barrel -converted to a UDS
Barrel cut in half
and an barrel becoming an UDS