Welcome to XDA!
This is what I responded to you over at TFF:
Sorry for the issues, it looks like the issue is a corrupt /data/ partition. By default "fsync" is off because this makes it faster, however it could get in a bootloop due to this speed. The fix is to flash the "fsync_on.zip" before the boot loop happens.
Once it happens, you are stuck, but there is help.
If you have TWRP 184.108.40.206, it is supposed to have USB support. Plug in a USB drive before booting to TWRP and it should be there.
To fix your issue and lose very minimal data, here is what will need to be done:
Boot to TWRP.
Backup only the /data/ partition. I would back it up to USB if possible, or if not back it up to the internal or microSD (if the microSD is playing nice).
Next (here is the leap of faith) do the wipe of the SYSTEM, CACHE, DAVLIK and DATA partitions. Do not do a FORMAT DATA, just a WIPE DATA (in the advanced section of the WIPE menu).
Now, install KatKiss and the GAPPS.
Wipe CACHE & DAVLIK.
Sign in to your Google account. You can have it restore apps if you want, I usually do myself, but it does not really matter.
Once it is done restoring your apps (or if you choose not to restore) open the Play Store an install Titanium Backup and the Premium Key for TiBu. You need the premium to restore from a TWRP backup.
Open TiBu and go into the Menu section, then find the option to restore from a nandroid backup. This will scan for any nandroid backups. Pick the backup to restore from and it will take a few minutes to scan the backup. Pick the apps you want to restore data and / or the app from.
Go make a coffee and wait for it to complete.
You may lose data from one or two apps, but you will have it from the rest of them. That is better than nothing.
ASUS Transformer 16GB with Keyboard Dock - Munching on Jelly Beans
crApple iP*one 5 - Stock
Just once I want someone to call me Sir without adding you're making a scene.
- Homer Jay Simpson