Root Galaxy S3 SGH-i747M (Andr. 4.4.2) without copmuter?

I've tried several different methods to root my Samsung Galaxy S3 (SGH-i747M) that I got in Canada from Fido about a year and a half ago, and I've had no success whatsoever. I'm on Android 4.4.2, Baseband I747MVLUFNF2, Build# KOT49H, Kernel v.3.4.0-1784548, and my USB port is broken for the second time. My contract is nearly up, but I'd really like to get this thing rooted.

Methods already attempted:

Towelroot (+Modstrings)
Framaroot (All available options)
TowelPieRoot
Key Root Master
vRoot
Poot
MotoChopper Terminal Exploit

Anyone have more suggestions?