mid priced -- somewhere a person travelling solo could just hang the night before she heads down to San Fran?
Around the airport? "Down" from where? Usually that means south but maybe you mean from airport area hotel???
>>>solo could just hang the night before she heads down to San Fran?<<<
"down" usually means south. San Francisco (abbreviated SF) is north of the airport by 13 miles. You won't find a restaurant with a 'view' in Burlingame, as far as I know. It is a suburb, and flat, unless you go up to the foothills of the Coast Range where the rich people live. Lovely houses, no restaurants.
If you want to spend the night "hanging" out in a restaurant, I don't think that is on.
If you clear this up for us, we may be able to help you with what you want.
Do clarify about heading down - as if you are in Burlingame as others would say, you would need to go north.
There's the Elephant Bar on the edge of the bay in Burlingame. I haven't been inside, so can't give you any info beyond that. There's also El Torito next door, but I don't know that El Torito is the kind of place you'd "hang out" in.