It’s a tough comparison between a CD transport of that caliber and a BDP3.
The best connection for the Jays to BDA would be AES/EBU and for the BDP3 is the USB.
Few things to check…
make sure your network components (router, access points, etc) are at least one meter away from cables and components.
use high quality usb cable. You can also try coax but that is unlikely to beat usb in case of bdp3
can you explain what you mean by mids and highs are out of balance?