When I am not golfing, I am usually eating, so here are some other thoughts on food for those around Friday night.
If you are staying near the course and like a good steak, Red the Steakhouse is outstanding, though not cheap. Next door is Moxie, more eclectic, but every bit as good. Same owners.
If you head east on Chagrin Blvd you will hit Eton, a collection of upscale stores and a number of restaurants, including Paladar Latin Kitchen (excellent), B Spot (Iron Chef Mike Symon's burger & beer joint), Taza (great Middle Eastern), Mitchell's Fish Market (a solid seafood place) and chains like Fleming's and Bravo.
If any of the East Team want to tie one on, I would second Brian's choice of the Ohio City neighborhood. It is a bit of a haul (on the near West Side of Cleveland), but has a great mix of restaurants and bars, including Great Lakes Brewing Co. Other great options for food here include Crop, Flying Fig, Bar Cento and Black Pig. There are probably another dozen places up and down the street offering a variety of food and libations. If you are a cocktail drinker and not up to driving so far, try the Katz Club in Cleveland Heights. It is housed in an old railroad dining car, and they know how to mix a proper Sazerac.
Drink up, Shriners.