During the month of March, Sundays through Thursdays, many travelers and locals take advantage of “Dine Around Seattle.” Frugal foodies can choose from an appetizer, dinner and dessert at some of Seattle’s best restaurants – all for $30. Some restaurants also offer lunch, and the price drops to a sweet ‘n’ cheap $15. I’d (foolishly) assumed that many of these refined restaurants wouldn’t welcome families. So I called the participating restaurants and asked whether they could put out high chairs and children’s menus. All offered the former — although Chez Shea needs to borrow the high chair — and many also provided the latter. This is a good sign. When…