Actually I can see why one might want to do this. I saw an episode of Drive-in’s, Diners and dives tonight which featured 2-3 places that had multiple great sounding items.  These places were in Portland, Ore, Somewhere in Mass and in Deerfield Beach, FL. Of course if you lived near one of these places you could go and try the different items over a period of time but if you could be there only a short time you certainly might want to go back several times during your stay.

I can recommend the Bon Ton Mini Mart in Henderson, Kentucky.  Several on this site have said that it’s some of the best fried chicken they’ve ever had. The rest of their menu is made up of hamburgers and other fried things that are pretty good but not in the same league with the chicken.  (See the review on this site.)  After you’d had your fill of chicken, you could supplement your diet with several other area restaurants, notably those known for barbecue.

 
If I were going to set up shop in one location for a few days and eat at one restaurant over and over again, my pick would be The Blue Willow Inn in Social Circle, Georgia, about 35 miles east of Atlanta.  Some of the richest food in America is in the South, and the Blue Willow Inn has it in spades.  As I like to tell people, if you wanted to go to a restaurant where all they served were those fabulous rich recipes they showcase every month in Southern Living magazine, you couldn’t do better than the Blue Willow Inn.

I don’t know why you would spend days eating in the same restaurant. Why not go to a town or area with many good places and eat at a number of them.  I do that fairly often in such places as New Orleans, New York, Chicago and San Francisco but there are plenty of other towns where you could do the same.  And if you visit for at least 3 or 4 days, you do have the option of going back to any place you particularly like but gosh, I spend 4 or 5 days in New Orleans every winter, eating lunch and dinner at different places I want to try, and still haven’t come anywhere near to eating at all the places I’d like to.  
 
One specific recommendation are Donald Link’s 2 places in New Orleans that are particular favorites of mine:  Herbsaint and Cochon.  They are very different.  Herbsaint is the more upscale and sophisticated.  Call it the Creole to Cochon’s Cajun.  I like to eat lunch at Cochon and dinner at Herbsaint.
 
Here are the web sites (with menus):  # http://www.herbsaint.com/index.php and # http://www.cochonrestaurant.com/index.html

Varasano’s Pizza – Atlanta, Ga (NW side)

K Paul’s Kitchen in New Orleans
And everyone will think this is odd, but the BEST restaraunt I’ve ever eaten at is in Pawley’s Island, SC, they are Frank’s and Frank’s Outback. Same kitchen, Outback is a little less formal. Last time I was there, an awesome pork belly small plate that i wish I had gottent the recipe for and the WORLD’s BEST She crab soup. All at down market prices.