TransWarp Beaming wasn't a simple afair according to ST:ID books.
Step 1) Khan transported from: Earth -> Cargo Station in Earth's orbit
Step 2) Khan transported from: Cargo Station in Earth's orbit -> Unmanned Vessel in orbit of Luna
Step 3) Khan transported from: Unmanned Vessel in orbit of Luna -> Qo'noS.
He burned out his TransWarp Beaming Device using that massive burst of energy by traveling to Qo'noS.
TransWarp beaming isn't practical if you have to burn out your tech to do it along with using the entire energy of a StarShips engine, even if it's for a moment.
Also, how will you get back to where you came from?
If the other place doesn't have a similar setup, you just set yourself up for a one-way trip and hope that the other side has similar tech.
TransWarp Beaming sounds good as a "Special Ops" / "Spy Infiltration" technique.
Not good if you want to come back immediately should anything go sideways in your mission / objectives.