Not sure about the low-tech methods. Definitely do not use compressed air. You'll oxidize your beer. Use co2 or nitrogen. That will require a tank and regulator along with an inline filter. If you have that you might as well have a couple kegs too. Check with your LHBS. Mine rents a filter for $20. Still too much? Try finings. Still too much? Store at as cool a temperature as possible until it's clear. If you want it clear fast, I'd go with finings like isinglass or biofine. Filtering beer, as I understand it, will strip out some flavor.
If it were my quad, I'd just give it time. Because a quad needs time to develop to it's full potential anyway.