Add your mic'd sound to the sims. Even if its not quite what you're trying to achieve as a single sound.
Another thing to try, and bear with me till you've ACTUALLY tried this....When tracking a supporting guitar section....ie: electric rhythm, stick a mic up pointing at the guitar. put it on its own track. Funny what you'll be able to do with it at mix. Or not use it at all. With track counts in the high 70's plus on a basic DAW whats not to try?
The history of this in my experience came from wanting the sound of the pick strumming an acoustic part. The 'pick' sound came and went partially because of the different attacks and the different responses on the acoustic accordingly. So I went back through and replayed all the acoustic track with a Strat unhooked. Put those together, liked it so much I went back and did the track again with a 335 unhooked and combined that.
Its all about experimenting.