Two guitars that I can recommend. The first is my personal favorite; the Epiphone EB-0. It has a really nice sound; not too twangy and it's pretty full/bluesy, if that's what you're looking for. It can be found
here.
My second recommendation is the ESP/LTD F-104 bass. This one's about a hundred bucks more expensive, but it's got a rocky sound and a rocky body to match. The guitar has 4 knobs-two volume and two tone, allowing you to adjust between a twangy sound and a more alternative-sounding electric sound. You can find the F-104
hereOf course, you can always look for these on eBay for a lower price ^^