Randers4, I did do a backup on iTunes today as well. It is not on my own computer, but it is on my mom-in-law's. I logged into my iTunes acct while on her MacMini. Then I did a Backup and it is on her HD. However, how do I get the Backup without it syncing to iTunes incorrectly? I saw that was a mentioned concern in ezjules' post.
On another note, in one last hope attempt, I did what someone else posted a few after ezjules' posts. I turned off the phone and turned it back on. It continued to download and about two more photos appeared. So I waited awhile and turned it off again and several more did. At this time about 40 pics & videos (combined total) have downloaded. It is taking forever even though we have Cox Premium internet (25Mb download, 12Mb upload) and no one else is on their phone or iPads right now.
Don't know if it would do any good, but you could try power-cycling your wireless router (unplugging it for 15 seconds, then plugging it back in), resetting network settings on your phone (in Settings>General>Reset), and changing the router's DNS settings to use Google's public DNS (see https://developers.google.com/speed/public-dns/docs/using) to see if you have any better success.
I would restore to the iTunes backup only as a last resort. You could try going to iTunes Preferences>Devices and checking "Prevent...from syncing automatically". Then connecting your phone and attempting to restore the backup but I suspect when you connect it will prompt you to restore from backup or restore as new, and if you choose restore from backup after backing up your phone will restart and begin syncing anyway. I suppose when this happened you could cancel the process by clicking ths "x" in the iTunes status window and you may be good to go, but I'm not sure.