I have an Inuke 3000dsp for the sub/s, and the receiver I have is the Denon 3805. I haven't even looked into what bass management it has, or doesn't have. That's some dry reading in the users manual.
I'll definitely take suggestions with the bass set up. So far, I am up to, RCA from the receiver's sub, pre-out, to the XLR input of the amp. Speakon connector to raw wire to the binding posts. Turn everything way down, grab fire extinguisher just in case.
I was hoping to look at the RC for your unit and see how it manages different setups, but given looks to be a touch screen remote, it is harder to know what controls it offers.
My older Denon has buttons on the remote for "Music", "Movie", "Game", and "Pure" like the colored buttons on the remote below.
It sounds like you only use yours for Music, but you can program the Music, Movie, and Game settings however you like. I'd bet yours has a similar feature, and you can setup the volume of the sub at different levels. For example, you might program the "Movie" setting for the sub to play volume matched with the rest of the system, the "Music" setting with sub at -3dB for songs recorded a little bass heavy, and "Game"setting with sub at -6dB for songs recorded a lot bass heavy. Essentially, you are using these controls to have remote control of you sub volume! For me, remote control of sub volume is very useful. It took me a while of envying the people who bought subs with remote controls before I recognized this feature could do the same!
Also note that since your mains have solid bass, you can play with your crossover frequency to allow the sub volume to be effective at the frequency that works best for you. IOW, my old Sansui '79 AU-717 had buttons next to the bass control to determine whether the bass control was effective at 400Hz or 200Hz. With the crossover, you can look at the above sub volume control as a "sub-bass control" which is effective at 50, 60, 70, or 80Hz.