Re: It's just a start, but...
I remembered I had an old Aphex 107 mic pre lying around that used to use to fed the wet cabs in my guitar rig. I plugged the overheads in to that and the difference was night and day. It was harder to make it meld with the play-a-long track. but patching in the right amount of reverb mostly remedied that.
So far at least it feels like playing on a stage with pretty decent live sound.