Overall, Carbon ROM seems just as fast as LiquidSmooth and just as many features so definitely give this guy a go this week(end) and do let me know what you think!
Download Carbon ROM for Galaxy S3 (For AT&T, T-Mobile, Sprint, Verizon, Canadian, US Cellular, Cricket, MetroPCS)
Download Android 4.4.4 Gapps (You can use Stock or Micro Gapps, use stock if you want ALL Google apps and use micro if you just want Play Store with minimal number of apps.)
NOTE: You need to update you CWM Recovery to v18.104.22.168 or higher OR also update your TWRP Recovery to v22.214.171.124 or higher. You can update your recovery by downloading CWM/TWRP then using Flashify app CLICK HERE.