I can't tell you whether this is a good idea or not for you, but my mare is also among the ones that NEED to run before they'll settle.
I used to try to just make her walk, walk, and walk but that would just wind her up more and more, then I'd be left with this horse that's bolting off on me or jigging instead of walking (and wouldn't stop jigging).
I eventually switched tactics and started asking her to canter more and that turned out to be just the ticket.
Now that we've gotten ourselves straightened out, one little trot set and a gallop at the end is enough to keep Lacey's head with me for a 2-3 mile ride. She used to need at least 3 trot sets, a couple of long canters, and a gallop to be "present" over that same distance but somewhere along the line, she seems to have realized that sometimes walking is good too (probably because when she gets extra hot, I make her run up hills until she's begging to stop...haha).
On days that she seems likely to get hot, I DO use a pelham with two reins and ride on the snaffle but use the curb as a "back-up brake" if Lacey decides to ignore my initial stop cues with the snaffle. I just find that helps her respect my cues more while she's "up." I try to avoid using the curb whenever possible but having it has proved to be very useful on days when she just doesn't want to listen.
Along with that comes the usual disclaimer about bits not being band-aid fixes, etc. The curb is just to back up my other stop cues. Like a dressage whip enhances leg cues. Very similar thing.
Fabio - 13 year old Arabian/Lipizzaner gelding
Hazel - 14 year old Angora goat
Atticus - 4 year old LaMancha/Alpine cross goat
Rest peacefully, Lacey.