Perfectly understandable to not want to stop. However you need to come up to the reality that it’s very difficult to carry 100 miles worth of fluids. So, you may need to make a pitstop but that does not mean it has to be a full-blown meal at a café. (Although you definitely want to do some rides where you just randomly stop at cafés and eat stuff. That’s one of the joys of cycling too 
Dash into a convenience store or gas station, buy a gallon of water, refill your bottles and get on your way. Or, just scout out some parks on your route and have water fountains at work. Think of it like a pitstop in a car race. It’s just part of the race. Make a plan, make it quick, and you’ll have a faster overall ride than if you try to struggle through without stopping.