Hi Minimivic and welcome to the forum,
I checked out the rcsmokers.com webpage which appears simply to be his eBay store. I didn't see anything listed with regards to current draw and that would be interesting to know, for both the fan and heating element. The SMOKER output on the TCB can supply up to 3 amps (at whatever battery voltage you provide the board). This limit is actually only the limit for the JST connector on the board, the MOSFET can handle more current. Assuming his combined fan/heating element current doesn't exceed 3 amps, or doesn't by much, you will be fine without a separate ESC.
Since the TCB can't operate beyond 15 volts, I would recommend you feed it 12 volts and go with the 12 volt smoker attached to the SMOKER output on the board.
In the Smoker section of OP Config (on the Motors tab) use the following settings:
Control - "Auto (with engine speed)"
Type - "Combined Heat & Fan"