Why not make this in to a DR1 contest? You pick the name out of all the suggestions and the winner gets a free lunch or dinner for 2.
My suggestion is "La Lonchera"
Sounds like you're opening a small tipico restaurant for locals...seems to me the name isn't all that important - moreso the food and the prices. Maybe a very different story if you're looking to attract tourists and expats.
I'd say more than half your competition simply have the name of the owner on a small sign outside...i.e "Rosa's", "Luis", etc...