I don't know if you have a big Asian market nearby at all, or if someone can point to a place to buy one of these on the web, but a great solution is a Japanese thing called a yaki ami. Basically it's two parts: a fine-mesh steel screen and a coarse-mesh steel screen, separated by one of several different systems that keep them about 2 inches apart. You put the fine screen directly on a regular-sized gas range, just like you would a pot. You put the coarse screen so it's above this. Turn on the range full blast, wait about 30 seconds for a bunch of the fine screen to go cherry red, then turn it down a bit as needed. Turn on the fan!!! Now after about 30 seconds, the upper screen will be scary hot, and you can grill on this.
It's great for grilling a relatively small amount of material, like for 2-3 people or something. It's especially good for grilling fish and vegetables, as well as relatively lean meats. Fattier cuts and meats will drip fat straight onto that fine mesh, where it will flare and produce smoke, which obviously isn't desirable.
One really cool thing about this is that the temperature is totally controlled by you, with very fine precision, and if you put your range on full-blast it gets so scary hot that if your tongs or whatever aren't long enough you will lose the hair on your fingers just getting close to it. So if you want scary-hot grilling -- great for fish, BTW -- and you've got a decent range hood, a yaki ami is a good solution.