How do you define "good" for a ductless rangehood? Maybe keeping down the potential grease accumulation in a heat recovery ventilation system for a very tight house?

A few years back, the U.S Lawrence Berkeley Laboratory published a detailed study on range hoods and indoor air quality under sponsorship from my former employer, the U.S. Dept. of Energy. Can't find the study at the moment -- just a description of some of the results in this NY Times article from 2013. The gist of the tests on recirculating hoods was that the lead scientist called the basic recirculators "forehead greasers."

The topic has come up from time to time here over the last few years. As best I can recall of the previous threads here on recirculating hoods here, folks did find the Vent-A-Hood ARS ("air recovery system") models do a good job at actually filtering air, steam and grease. [Here's a link to one long running thread[(https://www.houzz.com/discussions/vent-a-hood-ductless-ars-range-hood-update-dsvw-vd~2347276) that discusses them favorably. Unfortunately, these only come with a stainless finish, AFAIK, and they are also pretty expensive.

Maybe somebody here has found something that works better than most for less expense than the ARS?.

jwvideo -- Thanks for your reply. If I had a choice...but I don't. No ducting allowed at this Maui vacation rental condo. I'm pulling the OTR microwave because I'm sick of replacing it. (Buying a small counter-top.) The M/W has a recirculating fan, which does silence the smoke alarm. There's also a lot of air flow through our condo, and we have Mitsubishi mini-split A/C units when we close up.