That's a really good time for your first run. My first run was a 2:11:52.

My idea is Parallel Universe% or PU%. You enter a parallel universe as fast as possible.

Timing starts on reset and ends as soon as you enter the PU.

The fastest route I could think of: You perform LBLJ to enter Dark World, get the key, go into HMC, and perform a BLJ on the elevator in the cavern where Dorrie is to enter a PU.