That definitely helps. You've received some excellent recommendations already, and if maximizing the $500 is the goal the DBR-62 is very tough to beat.
I'd propose an alternative to maximize savings. Install Equalizer APO and PEACE which are free and use one of the common EQ projects at ASR to significantly boost the performance of an already measured with spinorama inexpensive speaker that is easily EQ'd like the Polk S15, Wharfedale 220, or the already recommended R162 when it is on sale. These speakers frequently go on offer at $150-199 and sometimes lower.
@Maiky76 has done it for S15 and others, Pierre and one of the Tims do this often on their own and sometimes on request, EQing to maximize Olive score or curve or listening window etc depending on the approach. You've a good mix of price and size/form factors among the ones suggested by the membership. Good luck!