+1 on the Pedulla Buzz; I love mine, and picked it up for about the money you want to spend. I saw a very nice one on Reverb the last few days running $1.7K (no affiliation...), but it must have sold; I can’t find it now. They come up there around that price every so often, though.
+1 on the Carvin/Kiesels as well. Mine was my only bass for most of my playing career and it sounds great with any music I play. If you watch, you can sometimes find one used for less than $500, although the prices have been going up the past 6 months or so.