Dani,
You definitely had heat exhaustion and a touch of heat sickness. Before you do that again, 2-3 hours before drink as much water as you can, without making you slushy inside. Then an hour before grab some gatorade and drink it, at least a cup if not more. This will help keep those electrolytes in you, instead of you dripping them out of your body as you run. Also next time jump on the scale right before you head out, write down your weight, then when you come back home jump on it again. If you notice you weigh less, it means you’re dehydrated, and need to drink about 8 - 10 oz of water for every pound you lost during that time. But sports drinks are a lifesaver when it's really hot and your running more then a few miles. And sometimes it is a lifesaver when it's really hot and you happen to be outside for whatever reason.
Also next time when you see those signs, or headache, tiredness, dizzy, spots in front of eyes, having a hard time breathing, or you suddenly stopped sweating especially the tiredness, don't go to sleep, you can go into heat stoke, very easily since you can drink water while you sleep. Keep awake and keep drinking water, or gatorade, which ever you can get the most down you. Get up move around and have a near by friend come and check on you. Being from Az I've seen a lot of cases of heat exhaustion, sickness and heat stroke. It can go from very mild to very extreme in a matter of hours.
I know we all want to watch our calories and gatorade is pretty high calorie drink, but a few extra calories or a visit to the ER might be your only two choices, when dealing with any type of signs of heat exhaustion/sickness. As you actually had signs of both, yesterday. Also next time find a nice bit of shade and sit down, and drink water and gatorade, don't just hop in the car, and turn up the air full blast, that is about the worse thing you can do. Though when you do get in the car, turn up the cold/heat mixture, so it's only slightly cool, and then slowly turn it down, every 30 minutes. The cold air will stop you from sweating and can send your body in to shock. And please do tell your group, what your experience, as there will probably be someone who knows enough about heat sickness to tell you, if you need to go to the ER or not. It's always safe then sorry with this. If there isn't anyone. Don't be the tough gal, really stand back and say, if this was happening to my friend what would I tell her to do? Then take your own advice.
As for the other guys, with the fur, they were trying to lose weight; a lot of the wrestling teams do this, as they want to be the strongest but lightest guy. I usually have to get after a few of them as they'll even run wrapped in black trash bags, to lose that extra 5 pounds. These are also the guys I’m usually in up calling the paramedics for, as they will pass out right as they get inside the health club and the cool hair hits them, and down they go. Drives me nuts, but it looks like nothing will convince them that this is a bad idea. Even having a teammate in up in the hospital for three weeks from doing that, didn't stop the rest of them.
Kit