Check out the SX and Douglas line from Rondo Music. They have several "short scale" models, including basses. Prices are excellent, and Kurt's customer service is top notch. If you get a dud (it happens), he'll swap it out or refund your money, including shipping. You may have to do a little tweaking, but in most cases, it's something that an experienced tinkerer can deal with. I got my son a single HB Strat thingie and it was a great starter.
www.rondomusic.com