I think I'm a little confused. I don't know how you could sync (if you mean Library server sync), since you don't have a Library anymore on the other side.
You say you have your library backup on Crash Plan. If so, grab the most recent backup copy, and restore from that once you get your system up and running.
Then, look at the file paths for your tracks (the Filename field in MC). You would want to copy your tracks to the exact same location as shown in the Filename field. If this is not possible simply because the drive letter has changed, or there is some minor difference in the base of the path (like M:\Music is now M:\My Music), then get your track to where you want them to be, and the use MC's Rename, Move & Copy tool in Update database mode to correct the base of the path. Your aim is to make sure Filename points to the actual files. Be sure to disable auto-import before doing all this.