If it’s not too late for the suggestion, would you consider a movie first and then dinner? A late-afternoon movie, say 4:30 or 5 pm, followed by dinner at a comfortable, nice but not too fancy place sounds appealing to me. That way you don’t have to keep an eye on the time all through dinner and rush off at a certain time. The movie gives you a topic of dinner conversation right off the bat, whether you liked it or not. Keeping it an early evening, saying good-night around eight or nine, is kind of nice and low on pressure.
If by chance you hit it off amazingly and want to stretch the date, there’s plenty of time for that.