nchrista- A delta winding can be grounded by connecting any one (and only one) of the three phases to ground. Phase-to-phase voltage will be impressed on the insulation systems of the other two phases, but it is better than letting the system float. The delta does not need to be broken.
Many transformers with 240 V delta windings have one winding with a center tap that can be grounded to provide 120V phase to ground on two phases, with the third leg (wild leg) at 208V phase-ground. This would be the best way to ground this application.