Its just clean bass tone, the rest of the tone is in the players hands.
For a low budget I would say used gear Like GK, Peavey,SWR and carvin can be found in many places.
250 watts to 500watts can be fine, the real thing to get you heard over a drummer and guitarist is going to be speakers and lots of them. Combinations of 410's or a 810 is the norm.
Used 410 like GK or Peavey could be a place to start for cheap, also for low B torture a 215 will have a different presence than 10's and is preferred choice for some.
Then if your not loud enough add more matching speakers like another 410 or 215. A single cab can only handle so much wattage....so this preaching about having more watts is just BS it more about moving more air, and only speakers can do that. In fact you need less watts if using more speakers.
Personally I cant stand 10" speakers, and wont work with them unless there is lots of them,like your standard Ampeg 810.
Metal bass players seem to like glassy clank and deep lows that never get heard. And its fairly typical to hear 2x10's and 410's over EQ'ed to a muddy clanky bass mess. So lay off the bass boost and simmering highs, and just learn to cut through with your playing technique and keep EQ on the flat side. Also for clean tone and fast picking compression can help keep volume levels equal. Since a heavy steady hand doesnt always work with fast metal. Also distortion is more of a fuzzy compression keeps things even but off course with more of a raw distorted sound
As mentioned good way to be heard over a wall of guitards is boosting the low mids, and mids. Deep boosted lows and kranked highs might sound good in the bedroom but in a band will get lost, and boosting those lows will just drive your speakers into distortion and farting out that much faster. distortion can help carry over more presence and keep the overall volume between lighter picked notes and heavy picked notes even. The extra harmonics created in the midrange will help cut through also.