Check out the link below. Since you are on 4.5.588 I would suggest SBF to 4.5.602, then use D3 1 click root. The links are in the forum below. Just make sure you do not take any OTA's while on 602.
Once you are rooted then you can load any GB rom you want through CWM.
VZW Galaxy S3 | Carbon | Lean Kernel
VZW Droid X | Wizards MIUI GB | Stock
VZW LG Revolution | Stock GB | Stock
ViewSonic GTablet | Beasty/Clemsyn Ultimate Froyo Combo | Clemsyn
iPod 4G | Stock | Stock