I have a 3-year-old French Bulldog. He comes with us on long urban hikes but refuses to drink. We bring water and a bowl with us and stop multiple times to let him drink, but he refuses. Is there a tried and true way to get him to take a sip along the way?
There's that old idiom that says, "you can lead a horse to water (but you can't make him drink)." Literally! I am a Frenchie owner as well, and my dog will only drink water a couple times/day - and when he does, he chugs an entire bowl. I've been concerned when it's hot and we're on a long walk if he's not drinking, but really, if your dog is thirsty, he will drink.
Now, if your dog is snobby and only likes water from a certain bowl or cold water, that's something I might explore. Maybe your dog dislikes the bowl you're using. Sometimes if it's super hot out, I'll pack a baggie of ice cubes and put it in an insulated bag so worst-case, I can give him an ice cube, which he loves.
You can't make a dog drink water. However, dogs tend like moving water, like from drinking fountains, lawn sprinklers or hoses. Try bringing along a squirt gun or something like that and make it a game. If you fear your dog is getting overheated, then seek out shade and let him recover and bring a high-water content type food product, like slices of cucumber.
I taught my dog to drink from the Benson Bubbler water fountains all around the city as a trick. If she's actually thirsty, she'll keep drinking. If she isn't, she'll perform the trick (standing up against the fountain and licking the stream) and then stop. But if you're offering water and he isn't drinking, he may not be thirsty, or he may be too distracted by the surroundings to drink. You could try dripping some water on his paws and he may lick it off. But if he isn't showing signs of overheating or dehydration, I wouldn't worry too much.