If she's Arab, there's no need to pull at all. You want to keep that mane as long and thick as you can get it. Just do a running french braid, and keep it tight up against her crest, and french braid her tail to match. The running braid is actually getting more common regardless of breed, but in my understanding it has about always been the option for Arab hunters. The braid isn't hard, but it does take some practice to get it perfect.
Best of luck, and have fun showing!