There isn't much good fish close to the Chicago history museum, but there are a lot of good restaurants (all of the restaurants listed are on Wells between Schiller and Lincoln).
Best fish options:
- Kamehachi has decent sushi and some good fish dishes.
- Trattoria Roma makes a decent sauteed tilapia. Plus they have outdoor seating and half price bottles of wine on Mondays and Tuesdays.
Other good options:
- Old Jerusalem - good, cheap middle eastern food. They have great tabouli.
- Adobo Grill - really good drinks, apps and guacamole. The entrees are only OK and overpriced though.
- Nookies - if you decide you just want a burger or an omelet. Good, cheap food.