Welcome to Barnmice Tatyana! 

Thank you for falling in love with one of America's great breeds.  No, I'm not a ASB person, I'm into Arabs, but I appreciate the ASB too.  Be careful about selecting a stallion when you find out about the semen, when the horses are stretched out it can hide a multitude of conformation faults, especially being built croup high and crooked hind legs.  Luckily now we have the internet and we can also see videos!  You also have to decide between 3-gaited and 5-gaited.

By the way the best horse I've ever ridden was an Arabian gelding sired by a Russian Arab.  Russians do know how to breed good horses!  I am sure you will pick a wonderful ASB stallion, and I will be interested in who you pick.