Difficulty: Moderately Challenging
Step1
Apply for a variance (exception) through your local health department. The only way to at least stand a chance is to separate dogs from the food preparation and serving areas. You could install a window similar to that at a fast food drive-through to pass the food along.
Step2
Set up a covered, partially or almost fully enclosed patio if your city or state allows dogs at outdoor seating areas. It will need to have a fully-closing door between it and the main restaurant or serving area in order to still be considered outdoors. You can install heaters for the winter time and spray misters for the summer to make it more comfortable.
Step3
Open a bar/pub or coffee and drink cafe. In many areas, establishments that do not serve food except for pre-packaged snacks like pretzels and potato chips can allow dogs inside. However, keep in mind that certain city/state laws don’t require much in the way of snacks for it to qualify as a restaurant.
Step4
Make it a private club where dues are paid for a monthly or annual membership. If you only allow members, and not the public at large, you might escape the jurisdiction of food establishment health codes. You may want to have another purpose for your club, such as entertainment or a doggie training or play area.
Step5
Have a "delivery only" menu with food brought in from nearby restaurants or make it BYOF. You would probably be allowed to serve drinks and possibly offer packaged snacks.