I have a townhouse which restricts what I can do, and so I can't vent outside. And, I'm also stuck with an electric range so it won't give off as much power or btus as a gas range. (I wanted to replace electric with gas range but it was too expensive to do that).

In a case like this, what's the best range hood?

Since I can't vent outside, does it even really matter what I get for the range hood? Would it be a waste of money to get something better than a recirculating range hood?