I've had more bipes than I can count and I really wouldn't recommend one as a second plane. The first and foremost reason is that the landing approach is so much different. A trainer is designed to be able to float forever, especially when landing. And 99.99% of students are taught to "float" it in during a landing. Most bipes (at least the ones I've flown which has been 3 Sig Hog bipes, 2 Dave Patrick Ultimates, and a GP Ulimate) do not float. You have to fly the plane to the ground. My recommendations would be to get a second plane that is a little more forgiving, but would let you start learning to fly in a landing. 2 that jump to mind are a Sig 4 star or a Goldberg Tiger 2. While you are learning there I would suggest you start building a bipe. In that area there is only one recommendation in my mind, and that would be the Sig Hog Bipe. You really can't beat a Sig Pig for a good bipe to fly.

Hope this helps.