I think your mare is just beautiful, lovely color, clearly a perfect personality. She probably would make a good mom. But to be honest the cost and potential danger of breeding your beloved mare really shouldn't be worth the potential of a foal that wouldn't be exceptional in any way.
I run a very small local rescue (17 horses now) and two of those horses are under 3 years old. There are several hundred foals and yearlings and young horses in dire need of homes and being raised right. Please look into helping one of them. If you want go check out the Dumbest Horse Forsale ads - you'll see several yearlings and foals for sale that really need a home like yours where they'll be loved and raised right. Most are free or seriously cheap. Also, adopting/rescuing a young horse gives you much less of a wait - you can skip ahead to all the fun stuff :)
I would not breed just based on her breed. 60% of horses sent to slaughter are western pleasure type horses like QH's. TB's only made up 11%.
I wanted to add about that quote ^
That's absolutely true, but people need to realize that isn't based completely on population of each breed. It's not to say there's that many more unwanted quarter horses than TBs - cause honestly it's easier to place a good old QH than most OTTBs. But the truth is most TB's are unfit for slaughter for human consumption based on the amount of medicine and other chemical treatments - as well as just being tougher keepers than a QH, they aren't ideal candidates for a feed lot. And for human consumption, humans don't really want well muscled, lean meat like a TB - they prefer more marbled meat. That's terrible to think about - but TBs just aren't the ideal horse for meat - but that doesn't save them from pet food slaughter houses.
Sorry to go into that, I just didn't want people to read that quote and think "wow there are so many more unwanted QHs than TBs!" Truth is, even meat buyers are picky about which horses they purchase - it won't be often a that they'll take a grey (with melanomas) or ponies (who don't have an average size steak) or sick or under weight horses - horses like that typically go to pet food, but all the research people discuss are really based on human consumption slaughter plants.