you jumped a course of 4 jumps, some of which she tried to run out? If you can't confidently navigate around a nice course at home I don't think she's ready to show over fences yet. All those problems you have an home are going to be magnified a million times at a show, even with Quietex. The most important thing for a green show horse is to go somewhere new and have it be a positive experience for her. Making her jump some scary jumps in a scary environment when she can't do it at home most likely isn't going to be a positive experience. I'm all for taking green horses to new places though. Can you take her and just do a few flat classes just to get her in the ring?