That's a tight budget unfortunately. Accurate bass is difficult at the best of times! for
that music I guess you'd generally be talking sub reproduction down to 35-40 Hz min. hard
without good drivers, decent amps and generally slightly larger speakers which usually
cost slightly more, and then considerably more... then there's the acoustic problems to
think about if your room is untreated...
On the plus side, have you considered
decent headphones instead? I have some closed back HD280s for tracking and they give a
good indication of how something will sound... There are much better open-back headphone
options within budget with more accurate bass of course. if that's an option you'd
consider? you could get phones then upgrade to monitors later if budget grows? It’s
always good to cross check on different speakers/phones and also you can work till late
into the night