I'd say definitely not. She looks like a nice enough horse, but there are some faults in her confo that would be a definite "no" to breeding her in my book.
You are about to go to college, there won't be time for her, let alone the time it takes to care for and train a foal properly.
Plus, you have to consider the cost of breeding. Not only do you have the stud fee and the vet check to ensure she's healthy enough for breeding, but you've got multiple vet checks for ultrasounds during the course of her pregnancy, you've got pre-natal shots, and any additional/special food she might need to maintain her condition while pregnant.
Then, you've got the risk associated with pregnancy and foaling. There is a very
real possibility that you could lose the mare, the foal, or both
during the birth. Do you have several thousand dollars saved up for vet costs in the event that something goes wrong? Are you prepared to lose the mare you love so much to complications from foaling? Are you prepared for the possibility of a foal born with a deformity that will have to be put down?
Are you prepared to dish out the money for the added farrier, feed, vet costs of another equine life? Are you prepared to pay for a trainer to train the foal since you're not going to have time for it?
Breeding a mare isn't something you jump into because "she'd be a great mom" or "it would be awesome to have a foal". You need to have a plan and a goal for the resulting life beyond the cuteness of the baby stage.
What are you going to do when the resulting foal is 2-3 years old and you're still at college?
Keep it and train it? Do you have the knowledge necessary to train a horse?
Sell it? Have you looked at horse prices? There are folks who can't give
their horses away.
What if the foal gets injured at some point and is never sound for riding? What if something happens to you and you are no longer able to care for it?
If I had to guess, the person who told you that you could get a lot of money for one of her foals was only looking at one thing...her color.
everyone loves her markings
The problem with that is, you can't ride color and color doesn't guarantee a safe pregnancy and a healthy foal, it doesn't guarantee a good temperament or a productive foal.
Now, I don't want you to take this the wrong way. It's obvious that you love your mare and I'm sure she's an awesome horse, but if looked at from a strict breeding
standpoint, she's just mediocre. Her conformation leaves a lot to be desired in a prospective broodmare, you didn't say whether or not she's got a show record but I get the feeling she doesn't, you didn't mention any particular discipline that she excels at.
So, the best you could really hope for would be a mediocre foal who's only real value would come from the training it gets.
It would be much easier (and cheaper) to go to an auction or browse one of the dozens of horse sale sites and pick up a weanling/yearling that's already on the ground. You could find one of comparable quality for less than a tank of gas. You could get a foal of much better
quality for less than a stud fee.
Not only that, but when buying, you can get the conformation, color, sex, and temperament you want instead of playing the crap shoot which is breeding.