
Beef can certainly cause 'hot-spots' with bichons, and I know of many that are intolerant to it stomach-wise too. I don't give my bichons beef food, or beef treats. They occasionly have raw tripe which they are fine with. None of my boys like it either! I bought them some large beef bones, but they wouldn't touch them!
I've never had a hot-spot on any of my boys, it may be bacause I don't give them beef or I may have just been lucky! My (now gone) girls used to get skin trouble from time to time and they were sometimes fed beef in their diet (you live and learn!! :D) So I won't risk it.