there are several range hoods eg Miele that can be vented horizontally and even some that can vent downward under the floor and another that has the motor outside the walls but you'll need to check with manufacturers to clarify which one would suit as you need to know exactly where the wall and floor framing is located to make sure there's enough space for installation ..rear venting rangehoods don't use less cabinet space they just avoid having a pipe through the ceiling and roof...

My family is looking to buy a new range hood. Ours right now is just too weak, it doesn't really suck air out. What do you guys/gals recommend? We've looked around and saw this one: Broan 413004 ADA Capable Non-Ducted Under-Cabinet Range Hood Do you think it's good? Any opinions? Thanks!

can it go through the wall to outside?

Hello 61karwin, I do not have a range hood just an exhaust fan. I do not do much in the way of frying, I am however rather good at 'carbon' but find with a good breeze thru from open windows that it is no problem. The fan does need cleaning every now and then but I get a tall person to assist: a young one who is happy to get onto the bench! I do not see a problem unless your home is not well vented and you like cooking hot chips! Cheers Margot