1.) If the utility has three 50kVA transformers on their pole, then yes, the bank will 'deliver' over 400 amperes.
2.) On paper it is possible to lay out a scheme with a pair of open-delta-connected 240- to 32-volt boost transformers to increase voltage from 208 to 236 volts, but only one phase will remain at 120 volts to neutral. It will not be true 240/120V 3ph 4w delta service. Two phases will be ~150 volts to neutral, and damage may result.
3.) The largest 'stock' buck/boost transformers [5kVA] will only serve a maximum of 156 amperes.
4.) If you could locate three 50kVA 120-to-240V center-tapped transformers, they could be connected to do the job, but your $10k budget would probably be drained.
5.) The utility-owned transformers may have dual 120-volt secondary windings, and could possibly be internally reconfigured for 240V service, but a line crew is not allowed to make such a change in the field, and the units would have to be hauled into the shop for any internal changes.
6.) In many areas any voltage 3ph delta is not very popular. If their engineering/construction standards do not permit it, then it will be difficult to furnish the requested service voltage without paying a price for it. Their metering would have to be reconfigured to accommodate the change. There could be a number of older 240V 3ph installations, but they may not offer that for new service.