I'm totally with Denver on this one. NO WAY would I suggest the place you two met.
How's this for an idea? Bring some lunch to a park near your house or office for a neutral location. Pizza place and your house are also great ideas.
As for the "Base" comment, Yes, I was alluding to the foundation you're laying for the conversation, and also, on a more meta-level, on the foundation you're building in your sitch with these interactions and your careful planning.
One quick note though: I TOTALLY hear what you're saying about preparing for her to give the D talk, and I think that's fine. BUT, remember the "Act as if" portion of the program here... If you go into this conversation assuming that the D talk is definitely going to happen, you might be sabotaging yourself in your body-language, tone, and general mindset.
Prepare for the worst, up until about 11:00 on Wednesday. Then remember that you have NO idea what she wants to REALLY chat about. Listen a TON, validate as often as you can, and keep an open mind.
After all, she might want to talk about building a rocket ship together!