Maybe it's more of a problem when you have a lot of invasives. We have tons of ailanthus and multiflora rose. If you just leave the cuttings lie, you now have an area that can't be mowed or weeded - prime growing ground for more invasives. Plus, you just run out of room for it all; hand cutting it into pieces small enough to put in the garden trailer would take weeks, literally.
Depending on where you live, I think occasional burning (once or twice annually, with a check of the local air quality ahead of time) isn't necessarily a bad option. Technically, you need ash in your compost pile anyhow.
Most equipment rental places do have chipper/shredders. But that's one of the few things that won't fit in the back of a Prius. 
I wonder if it's possible to rent some goats that are trained to eat ailanthus and multiflora rose, but leave the raspberries and native roses alone?
Last edited by OakLeaf; 07-30-2009 at 08:51 AM.
Speed comes from what you put behind you. - Judi Ketteler