That is the rub.
As I said elsewhere, most affordable actives are built for the studio, so not pretty and rarely with grills.
From hi-fi companies there are one or two cheapish models from Quad and Kef, but mostly they are quite pricey, I like the Dynaudio Focus XD but with the entry level stand mount at over £4k, they are a bit steep for me. Most of the rest are studio products and given that, I would be wary of buying used, they are likely to have had a hard life.
To be honest, if the DM5s are as good as late model ADM9s, then they would be the stand out allrounder for hi-fi use at that price. The Adam A7x is a touch more expensive but very different, altogether more 'muscular' which may or may not suit the user/application.
If you fancy something really different, look to the Genelec 8320 or 8330 'APM' models with the measurement mic and software package. A bit over budget but you get full room/speaker eq at what is really a pretty affordable price.