The problem is that air will escape through the spokes threads on laced rims
I should be OK to use Michelin Sports etc for the street but with a tube inside.
I think that the Pirelli MT 60R/60RS Corsa are the favourites as they are radial tyres specifically designed for Supermoto! They are super soft tyres with a thread that looks like the wet tyres used in GP.
Almost all the bikes I saw racing use these.
Now that you mentioned it I realize it's not a good idea and I shouldn't recommend it to anyone.
I had run tubeless tires with tubes on my SR500 with no problems (except an instant flat) because the dealer said the rims were not real tube type.
I removed the tubes later and didn't have any problems since.