I was a menthol smoker also. Some suppliers will "add" a hit of menthol; some will sell "menthol Kicker" or similar for you to add.
However...the little discussed item is in the herbal medicine world, "lemon" is a naturally used to help all nicotine cravings.
IMO it helped, and also imo I switched to cinammon for a few hours- I think they were my first big ventures away from "menthol"
I didnt miss it, soon I was going for completely unrelated flavors. Can you ask your supplier which flavors are "smokey"?
and other questions similar?
All the Best, Happy Holidays!