Yes, you should be able to use the same character for the end section of the game. In fact, it should be a seamless transition.
Did you try hitting Esc at the black screen? If there was a problem with one of the cutscene videos, that might get the game to skip it.
Try installing the AC3filter audio codec; that can fix issues with the transition from D2:ED to FoV. Some people have also fixed codec problems by either uninstalling or installing codec packs.
http://www.ac3filter.netCheck for Windows updates, particularly anything related to Windows Media Player codecs.
Rename the Endscene_English.wmv and EXP_Intro_English.wmv videos in the '..\SteamApps\common\divinity2_dev_cut\Data\Video\Story' folder to get the game to skip them (you can watch them in Windows Media Player, etc).
If starting a new FoV character works, it wouldn't be a problem with the starting cutscene, or codec issues, but renaming the video might still help.
Try lowering the graphics settings temporarily. In particular, one person reported that turning Dynamic Geometry Distance Rendering to the lowest setting fixed the game freezing for an earlier cutscene (meeting Talana), or you could just switch to the low quality preset.
A lower game resolution and graphics settings might let the game start in windowed mode, as well, which could avoid the issue transitioning into FoV.
Try skipping through the conversation, rather than let it end on its own (if you didn't already do so, when re-trying this).
Crash after Ygerna's memory cutscenes