I am trying to establish a 120/208, 3 phase service for a shop that requires that power but the utility that is present is 120/240, 3 phase delta.
I would first double check with the customer that this is truly what they want/need.
You didn't say what kind of shop, but to me, this generally implies a facility with small to medium 3-phase motors, which are typically rated for either 208 or 240, as opposed to motors that are rated exclusively for 208. But likewise, these shops typically also contain many single-phase 240 volt motors, and these are not real happy when they are only given 208 volts.
The 120/240, 3-phase system is generally the best alternative for small/medium shops, at it will satisfactorily power all of the 3-phase and single-phase loads.