THAT would be a perfect and true marriage of the two
If any American entrepreneur finds this and goes with it ... how about a 0.01% intellectual royalty, eh ?
Circle K convenience stores used to sell something called a cheeseburger dog. It was like what you are describing -—hotdog-shaped ground beef and pork with bits of cheese right inside the weiner.
It was cooked on the rotisserie thingy with the regular hotdogs, and you put it on a hotdog bun, and load up with condiments.
I tried one. It was ok, not great, IMO.