You are in Italy; eat Italian food. There are many small pizzerias and trattorias in the town that serve excellent and inexpensive fare. A typical meal of pizza and a beer will cost around 10 to 15 euro. In the main square, the cafe serves excellent Capuccino for about 2 euro.The self-service cafe in the central market just north of the main square and the Hotel Byron is excellent for lunches 7,50 to 10 euros.
For an excellent example of a typical Romagnolo menu at local prices, try Ristorante Al Passatore (via di Roma, opposite the "Palazzo di Teodorico". It's a local institution.