Be careful introducing her to good pasture. It's easy to grass founder a horse that's not used to rich grass. I'd start her out with half an hour to an hour a day for a few weeks before gradually building her up to 24/7 turnout on it. Founder is not pretty. Sounds like that QH stud has rain rot, listerine would be his friend.
Depending on your area gelding runs 100-350. However since h has been a stud that long he could have picked up some habits that you'd be hard pressed to break.

Good luck on your girl and the fences.