How much does a Hundred Dollar Hamburger actually cost?
The flight school I fly out of rents a 152 at 86USD an hour wet. Assuming you need some cash for the burger lets say you save the remaining 14 dollars for that you are right at your 100. With the 152 cruising at just about 95 Kts you need to keep the distance (both ways) under 95nm to say in our budget.  

KDYL → Sky Manner (N40) is a 15nm hop and Sky Manner has a nice little restaurant. 

If you want to put some actual time on the plane 

KDYL → KRDG is a 39nm hop and there is a restaurant there. 

Both of these hops keeps the hobbs at under or right at an hour of flying which keeps you under your total of 100USD for the flight and the burger. 

That being said, there are bigger, faster, more expensive planes you can fly much farther to get food. I was chatting with a guy who flew his PC-12 from PA to Martha's Vineyard for lunch with some clients... I assume that was far more than 100$.