If it won't be vented it is essentially a light with a small recirculating fan and a bit of a grease filter.
I'd choose the one that looked the best because it really won't be doing all that much.

I would make sure that the filter pads can be washed in the dishwasher.

I would also use a website like Home Depot or AJ Madison to search by CFM and other requirements. Once you determine what will work you can then take the model number back to the Best Buy site and see if they have it.

The CFM requirement is determined by taking the total BTU of the cooktop and dividing by 90 or 100 that's the range of the CFM you should be looking for.

good points practigal.... I have the ge cafe duel fuel converted to propane. Just purchased the range.

Thinking about this hood. Do you know of the namebrand? NSP1 Series 30 in. Pro Style Range Hood in Stainless Steel. http://www.homedepot.com/p/NuTone-NSP1-Series-30-in-Pro-Style-Range-Hood-in-Stainless-Steel-NSP130SS/100545664

Will it work with my new range? http://products.geappliances.com/ApplProducts/Dispatcher?REQUEST=SpecPage&Sku=C2S985SETSS

If you're serious about cooking, one of the *best* things you can spend your money on is venting that range hood, especially considering what a competent range you just bought.

I put a 600 CFM Broan Elite E6030SS hood over our GE Cafe range, which looks fantastic and works great. There's a recirculating kit available for it too (if you must).

@carnivore Very very nice hood you got.
I like the style of the hood you bought and is very simular to the style I am looking for..... however the hood you bought is way too far out of my price range. 500 tops is my limit.

There is a big difference in the performance of ductless (recirculating, ventless) and ducted, range hoods.

The biggest difference is that ductless hoods only remove the grease (metal filters) and smells (charcoal filters), but most of the other pollution goes right back into the room.

A hood that's ducted to the outside removes *everything* - grease, odors, excess heat, moisture - and on top of that, because it's actually sucking the air out of the kitchen, it pulls fresher air into the kitchen.

More info here if you're in a reading mood: http://www.futurofuturo.com/rangehood-FAQ-10-reasons-to-have-a-range-hood.php

Yes, installing a duct is a hassle and an expense, but in the long term, you'll be a LOT happier with the hood. Oh, and don't forget that charcoal filters cost money, and replacing them every few months will eventually cost as much as a duct installation. So if you're planning to live in the house for more than a few years - do it right from the start.

Here is a link that might be useful: Range Hood Benefits