Slow down.....
There are applications like "the Amazing SlowerDowner" and "Song Surgeon" that can do this... Also I think Audacity can even slow down the track, but you can really only slow it down so far without getting a lot of degradation. Yet you'll need to work beyond that.
Suggestion.... when you practice with the backing track run the track out your computer speakers and play through a POD. This way you can hear yourself and the track better.
IMO shredding for the sake of the music is cool, but shredding for the sake of shredding is boring.
Because of the room etc., When I'm recording something I usually use my POD and split and record only the clean signal, then add an amp model to the clean track in my DAW. When I get it to where it sounds good, I'll re-amp the clean track through the Randall or 5150 depending upon the tone I want on it.