That sounds a lot like a Vent-a-hood, which I know exceeds your budget. But, look around, be resourceful.

I'm in Toronto, and bought a 'used' 30" dual blower 600cfm 18" high 24" deep Vent-a-hood with the optional heat lamp bar for $400 on eBay.

Of course it was in the US, so I had it shipped to Buffalo and I drove the 3 hour round trip to pick it up.

$500 or so all-in vs. $1800 new up here + options and it looks perfect.

You didn't mention whether you are talking about undercabinet or wall-mount/chimney- style hood or something else. Anyway, Kobe hoods give a lot of bang for the buck, and are well-made, with Kobe providing great customer service to boot. So check out that brand. Another choice is Costco which sells name-brand hoods at amazing prices. Typically lower-priced hoods use mesh filters, but Costco sells hoods with baffle filters which are better than mesh filters. Plus, you are likely aware of Costco's wonderful return policy should anything go wrong with the hood.

Costco used to carry the Kobe Brilla hoods which was a fantastic deal, cause that's a nice hood. But I just checked the website and the Brilla hoods aren't there any more. Costco changes its inventory frequently; may be worth a trip to a Costco store to see what they have in the store. The Costco website right now shows Ancona hoods, but I am not familiar with that brand. Again, there's the Costco return policy...

P.S. the 33" height above the cooktop you mentioned should be the maximum; 30" is pretty much ideal, but 33" is OK. Just don't go higher than 33".

Below, I tried to direct-link to the hoods at Costco, but Costco will only link directly to the large kitchen appliances page. So, from there, search for "hood".

Hoods at Costco

Kobe Hoods Website