It does indeed appear the level file for the Black Cove was carried over into your new game. Extracting the save in the EE pak extractor (download), and deleting the cys_blackcove.lsf file from the level cache folder will allow the save to be loaded (the extracted folder will show up in-game), and the cave to be entered without crashing.
I will describe how you can do this yourself, if you wish, or here is a link for a save where this was done (extract the zipped folder into your savegames_patch folder).
After starting the ConverterApp.exe program, switch to the 'PAK / LSV Tools' tab, in the 'Extract Package' section, for the 'Package path' browse to the save's lsv file, then for the 'Destination path' browse to that or another profile's savegames_patch folder and enter a new folder for the extracted files (you can copy/paste the path from the path listed above and edit it; ie to be '..\savegames_patch\SaveName-extracted') and click the 'Extract Package' button. After renaming or deleting the cys_blackcove.lsf file from the levelcache folder, you can then just start the game and load the extracted save.