That's weird, I've never had any problems with bars' offering menus.
Just ask for your favorite beer or stick with the Thai brands.
As far as food is concerned, look around and see what others are eating. If they don't have a menu, point to something you see and like and order it.
Better yet, try to learn some basic Thai. It's not that hard and most waitresses and waiters are very understanding and accommodating.
Try saying "men-yooo krup".....