Recover contacts from iPhone in recovery mode

I recently tried to update my phone from ios 5.1.1 to ios 7 on the phone itself. Tihe update seemed to be working but then it went into recovery mode. Whenever I connect it to iTunes it only gives me the option to restore. I haven't synced my contacts in forever and cant stand loosing them. Is there any way to read them off my phone while its in recovery mode? I have a fair amount of knowledge in computers so I'm open for any solution, no matter how technical.