I have been the owner of both a BCC and a FC.
In my younger days I sailed a FC with no engine. Now in my later years I am sailing a BCC with an engine.
It is really hard for me to compare the two actually. When I first purchased my FC she had an engine. I removed the engine and filled in the aperture. That made a HUGE difference in the performance. My BCC has an engine and the attending drag.
For most of the 16 years I had the FC my record top speed was 6.25 kts. On my final voyage with a new full batten main and spinnaker she hit 7.25 (no I wasn't surfing).
So far with my BCC has only hit 6.5.
I find both of the vessels a little tender. The FC was probably more so. But she actually sailed better loaded (I know it seems counter intuitive). My BCC is not as tender now since I went to the light weight synthetic rigging. I was carrying full main (new full batten sail) and jib in 17-20 kts of wind the other day.
The FC is more fun to sail since it is so small and easily handled. I could have my main up in less than 20 seconds. It also took me on a number of ocean passages.
The BCC is great for me now because my wife and I are moving on board with 2 dogs a cat and bird. I could have never done that in the FC.
Both boats are touchy about to much weight in the ends (as are most boats). But the bow is very sensitive to weight. The FC soared once I removed 300lbs from her bow!
All in all they are similar in sailing characteristics. The most obvious difference is size and what you need the size for.
Enjoy your boat!
US Virgin Islands