With the right stack and lid, it should work, however a few thoughts:
Unless you insulate the outer shell, the reverse-flow design will be dramatically less fuel efficient.
Access to the cooking chamber will be difficult.
You’ll have to build an access door for the charcoal basket, which tends to make designs less air-tight.
Finding a cylindrical outer shell to contain a drum may be difficult. Making a double outer shell that will allow insulation will be even more so.
In short, the advantages of a drum are lost and you might as well go box-shaped.
[COLOR=green][B]XL BGE[/B][/COLOR], NBBD Offset, 3 Weber kettles, gas and electric cabinet smokers, and a few smoker projects waiting