How did your dog do with all the walking?
What about all the walking on concrete?
Dogs are a bit better at it than we are, perhaps because they are always on their bare paws and they have a slightly higher body temperature than we do.
You can try doggy boots, but be sure to train your dog to wear and work in them well before the trip. (It is okay to laugh at your dog the first time he tries walking in them - it is a stinkin' hilarious sight to behold!!!!!
) Even then, he may not like the boots. My SD doesn't, but I put them on for Disney and ended up having to take them off partway through the trip because she wouldn't stop throwing a "tantrum", or maybe "protest" is a better word, by sitting every time we stopped walking for more than a few seconds. (For a balance dog like her, this is NOT a good thing!!) As soon as those evil booties were off, she behaved just fine!
It was funny, though, 'cause one of the ride operators of a ride we went on while she was still in boots actually THANKED me for putting her in boots! He must've been a real animal lover 'cause he said too many ppl don't think about the pavement and their paws. I got a kick out of that.
Do be aware that the way dogs cool themselves is sweating through their paws as well as panting.
Anyway, my girl is unaffected by pavement (or sand) that I find very hot. She has never done a hot-surface dance and is perfectly fine standing and sitting (sometimes her choice) on hot surfaces. (I do recommend an umbrella for the beach because of the heat of the son bearing down on the dog, who is wearing a fur coat on the beach, though!)
I did sometimes use the pump mister on my dog at Disney. I don't know if it helped at all, since it prob'ly couldn't get through her thick hair to her skin, but I sure enjoyed whenever I used it on myself!
When we sat in the sun (accessible section) at Lights, Motors, Action! I also put the fan mister on the ground in front of her with the fan turned on for the whole show. (Mine made noise when it was flat on the ground for some reason, so I had to shove something under it to tilt it up just a bit. Then it was silent.)
If the dog wears pannier packs, some ppl like to put frozen bottles of water in the packs to help cool the dog.
Also, RuffWear just came out with a product called the "Swamp Cooler", which is a body-long vest for dogs made to cool them down. So, if your dog doesn't use a special harness to help you, you could turn that vest into an SD vest for those super hot days. There are also mesh SD vests that you can purchase.
SDs can go-go-go all day long, so I wouldn't worry too much about the dog not being able to keep up.