You are staying at the hotel that is adjacent to the University Club on the south side of Campus near the gold courses. There isn't anything walkable from that location but there are some good choices a short drive away.
Love the idea of El Azteco! It is a true MSU institution. If the weather is nice, get a table on the roof!
Harrison Roadhouse is at the corner of Harrison Road and Michigan Avenue. Good, casual choice.
My family also enjoys Pizza Kitchen on Hagadorn Road. Good pastas and pizzas and able to take bigger parties.
Beggars Banquet, another MSU tradition on Abbott Road right before the entrance to campus.
There are many choices along Grand River Avenue downtown that would probably work as well. Have a great time! Moms