Manny, having a mint smoke unit won't hurt, -as you say - but I don't think it will help much either, since the engine has been run. To me, half the fun of running a steamer is watching it smoke, so I say give it a try! Just put in at least 15 drops of fluid, because the wick on your engine must be very dry.
Folks reading this thread shouldn't be discouraged by the smoke problems described. Most steamers smoke just fine without any problems as long as they're not run dry or overfilled. Let em smoke!
John