It really doesn't get weight restricted unless the runway in ASE is wet or if engine anti-ice is required for the go-around. A wet runway at ASE takes about 10-12,000 pounds off MLW.
Even though the runway is physically 8000ft long. They still haven't changed LDA which is still at 7006ft so flights to ASE are dispatched to land on a 7000ft runway.

At least at Eagle the flights are always planned with a GJT alternate doesn't matter what the weather is. It's rarely weight restricted even with that alternate.