You can either get some fabulous deals, or you can get taken for a ride on buying a new trailer. Check our Classifieds section here for a representative sample of what's currently available on the used market in Airstreams. $10k may be reasonable, low, or unreasonably high for the unit, depending on it's condition. You will also want a 3/4 ton tow vehicle for your 34' trailer, so there'll be additional cost there if you don't already have one.
I had a '94 tri-axle trailer for several years, and they're wonderful. They're easy to tow and back up. You do have to plan where you pull of, though, and sometimes getting gas will be a challenge if you don't have room to move a 55' truck/trailer combination through a gas station properly.
There are also members here who are willing to inspect trailers nearby them as well... you may want to avail yourself of one of them...
All-in-all, buying used can be a huge money-saver, but it can also be nerve-wracking, especially if the trailer is some distance away. Good luck!
AIR 2053 Current: 2006 Born Free 32 RQ Kodiak Chassis, & 1995 Coachmen B-van
Former Airstreams: 1953 Flying Cloud, 1957 Overlander, 1961 Bambi, 1970 Safari Special, 1978 Argosy Minuet, 1985 325 Moho, 1994 Limited 34' Two-door, 1994 B190 "B-Van"