Kitchen in basement unit - Ventilation Solution?

[Alan Le]

I am currently renting the upper level of my home, while converting the basement to its own "unit", (both levels have separate entrance, house is old and I suspect it functioned like a duplex at one point). I found an electric stove top that could be perfect for the basement kitchen; it's an electric two-burner and works with a standard 120v outlet. 

The main concern that comes to mind is ventilation. I have two options that I know of-- either circulating hood, or a hood that actually vents the air outside through a duct. The latter option would certainly be more costly and intrusive installation process. Also, it's only going to be a two-burner stove so not as much smell/smoke/odor. For that reason, I'm leaning towards getting a circulating hood, (sits above stovetop and essentially just blows and circulates the air rather than venting it outwards). 

Does anyone have experience with converting basement units and kitchens have input to offer? I'm also open to other methods of ventilation that I may not be aware of. Downside of doing a hood is that either way, I'll loose some head clearance which is already tight with a low basement ceiling.

Thanks for any input!