My mother and I have been interested in breeding her paint mare to a Fresian stud for a 2014 foal (we are not just making babies to have a baby around, this is going to be my dressage horse that I don't plan on selling).
I so understand that, I really really do, I have a really nice mare here that I keep thinking "Maybe if I bred Wills to a really nice Warmblood I could grow my own dressage horse"
Then I start researching the studs I would like, and I see the stud price, figure in the mare care, and remind myself of how many people I've read about who have lost foals this year, and I chicken out.
As I say, I really really understand what you are thinking, just remember that you have a lot of odds to overcome:
Your mare has to be fertile and able to carry to term.
You have to find the right stud, either close by, or you need a vet close by who is skilled in AI.
You have to have the patience to wait until she catches, could be first time or she may never catch.
Then you have the nerve racking wait, and if mum and baby survive the pregnancy and birth, you could be looking at the foal going yeah, cute fluffy foal, and I will love him to bits, but mmmmm not seeing a dressage horse. Hehehe seems like people can't win I know, say you just want a foal for a trail companion, people say don't breed, you want to breed a dressage horse, people also say don't breed.
I don't know what your mare looks like, or how she moves, so it is difficult to advice what is the best cross for her to help your odds of getting what you want, but I totally agree with the others, the Fresian is not the place to start looking.
Warmblood, possibly an Andi, depending on your mare would be better odds for a dressage horse I would think