@RaceTripper can help maybe. I know he has 2 REL subs running with his new Dynaudio C2 and I believe his music taste are very similar to the OP. Matching sub to speaker brand is not needed. I would suggest REL and then the help of a dealer or knowledgeable friend to help integrate.
Right, like the OP, I listen to jazz and classical, and same system (282/HCDR/250DR). I am running two REL R-328 subs. Initially with Dynaudio Contour S3.4, and as of early this week with a pair of Dynaudio Confidfence C2 Platinum. Even though the C2 are -3db at 28Hz (Contours were -3db at 35Hz), the subs take it further, and it makes a difference. When I first brought a sub home to demo I played the Bach Solo Sonatas and Partitas for Violin for my wife. Once she settled into enjoying the music I turned the sub off. It surprised her: she didn't even think the sub was on for one, and asked what happened. She said the presence (imaging/staging) dropped away and the violin lost some of its woody timbre. That's how I got permission to buy the sub.
I have since added a second sub, which makes it even betetr. It really helps contribute to soundstage and midrange texture. It's not just about bass extension per say. RELs work especially well since they are designed to integrate with two-channel audio and have high-level inputs (no need for a LFE output from preamp), and provide for separate xover, level and phase adjustment. Once setup properly, one can forget them.
Setup, especially with two subs has to be done right. This is critical and benefits from expert help (i.e. dealer). If it's wrong it will sound boomy and draw attention to itself. When setup correctly, they disppaear into the room and you won't notice they are there. Well, put on some Strauss at concert volume and watch the bass driver excursion. LOL