Do I need bi amping?

Hello guys

I have a pair of power amps, one Line Magnetic LM-508 (300B-805 tube my favorite) and one Hypex NC500 class D.

I'm using today the tube amp, wich has more than enough power to drive my speakers at every volume level possible and the class D amp is in a closet.

As I have both amps and my speakers accept bi amping, I was wondering to try it out, using the tube amp for highs-mids and the class D amp for lows. 

Would you recomend bi amping? Have you tried it? 

I listen to all of my music streaming Tidal and my 2.2 system today sounds superb for me (I've heard some much more expensive ones sounding much worse). I also have pretty good hi end gear for the money and paid attention to every detail I could: AC dedicated line, AC filtering, cables, audiophile switch, digital signal processing, antivibration tweaks, speakers and subwoofers positioning, upgraded caps and resistors on my tube amp, better tubes, etc etc. I'm not looking for extra power, just better sound.

By the way, my Audio-gd Master 1 has RCA and XLR outputs to drive boths amps, but thr only caveat is that I need to match the gain of the outputs as they are different. 

If I do it right, would I get better sound?