+1 on the electrolytes. That's the one thing I wasn't hearing in your post - that, and just simple acclimation.
Your symptoms sound like I feel when I'm hyponatremic, except it doesn't give me migraines. When I'm sweating out 2 liters an hour I'm losing a lottalotta salt, too. I think I've read that your body can only absorb 1 liter an hour, so it's important to continue hydrating after the ride, but you said you did that. But the more I'm sweating, the greater proportion of my drinks need to be sports drinks. On a normal to cool weekend, I'll have one bottle of sports drink to every three of plain water. When it's hot and humid and sweat is running off my body, on a long ride I need it to be every other bottle. If you can't take the sugar and you don't want artificial sweeteners, try Emergen-C powder.
Especially if you continue feeling worse, drink 3 liters of sports drink. I'm serious. That almost always does the trick for me.
But if you're not acclimated to the heat yet, it's going to take a few rides. Once you're properly rehydrated and have your electrolytes in balance, in the recent thread about heat acclimation, someone posted a link to a study. According to that study, the best way to acclimate is to just do it, but if it's taking too much out of you, working out in AC does help, so maybe alternate outdoor workouts with gym workouts until you're fully acclimated.
I don't know anything about IBS, but I would think that that would make you prone to dehydration too, so anything that will increase fluid absorption through your intestines is good - and I think balanced sugar/electrolyte drinks fall into that category, don't they?
Speed comes from what you put behind you. - Judi Ketteler