I was selling (Until I realized I didnt want him going to a teenager/wannabe cowboy) my 1D barrel horse. When he is in shape he runs consistantly in 1D times and I always get a check. He also does trail and I have been doing western pleasure and other show stuff with him. I was selling him for 3500 to an approved home in Montana.
Finished or at least patterned barrel horses are out there.
Cutting is very expensive but I wouldn't let being a girl hold you back. I've ridden a few cutting horses and they're a completely differant experience IMO. Lots of fun so if you could, go for it.
When I get the chance, I will look some taller horses =P