Well the high and low points have been hit but to sum it up:
No a biplane is not a good second or third airplane-
The "tail moment" which is the distance between the wing and the tail is short- meaning these aircraft are "pitch sensitive". Get too low on air-speed and you will stall and spin into the ground
Having said that I have seen folks fly an Ultimate-40 or P-51 Mustang as their 2nd airplanes successfully, but going against all reason and advice from us

These guys flew almost every day though and put a lot of hours on their trainers!
Good luck and keep us posted!
James