I'm not sure who else in your party uses the vegetarian options, but a few places that offer both choices would be:
1)Yak and Yeti - many varied choices here.
2)Tokyo Dining -seated at a seperate table as opposed to Teppan Edo.
3)Kouzzina - not sure if it is on the DDP, but it does offer vegetarian and non-vegetarian choices.
4)Rose and Crown - on the DDP and does offer both choices.
5)The Wave - mixed reviews, but good location.
I stayed away from the Signature Dining choices, but there are some awesome choices among them as well. Enjoy your trip!