I have a Fender Mustang Re-Issue with Thomastik Jazz Flats on it. IMO, that bass sounds great, with plenty of thump or growl if you are playing thru a good bass amp where the amp is capable of shaping your sound/tone to a great extent.
(Sunn 2000S, Sunn Concert Bass & Sunn/Fender 1200S hybrid all sounded just fine to me).
If you're economizing you might consider a Gretsch Electromatic Junior Jet
I picked up one of these off of E-Bay a couple years ago for $185.00 in a hardshell case. Nextag has it going for $244 now.
http://www.nextag.com/Gretsch-Guitars-G2202-Electromatic-572959864/prices-htmlRondo's SX comes in short scale versions, but I don't have any personal experience with it. Most players seem to talk in terms of buying them because they're inexpensive and then doing up-grades on the pups & pots.
If you have the money to spend you might want to check out this website.
They build exclusively "Short Scale Basses for the Professional player"
http://www.birdsongguitars.com/I love the ease of playing a short scale bass, especially the Mustang Re-Issue.
I'm sure there are other great ones out there, but these are the ones that I know.