Having spent a lot of time around motorcycles like you have, my filter method is to hose the thing down with PJ1 (or equivalent) filter cleaner. Don't use gasoline, it's too harsh on the filter and can break it down. PJ1 is safe for plastics. It comes in a WD40-style can and you just saturate your element with it, let it sit for a minute or 2, then hose it out with the garden hose.
Let it dry, then saturate with filter oil (once again I recommend PJ1 brand, I usually buy my chemicals down at the Honda shop) and squeeze the excess out, reinstall. Don't use plain motor oil because it doesn't stick around long enough and it's not as tacky as proper filter oil.
I don't see why the same wouldn't work for a Brackett element, other than they recommend you change them out annually.

