Question [Q] Kitkat ROM that works on VZW Note 2 outside USA?

I'm looking for a stable Kitkat ROM for my Verizon Note 2 that will work even if the phone is used outside the USA (mainly Europe).

Anyone have any experience with something that you personally have seen to work?

I would prefer Cyanogenmod, but I was burned a while back using Cyanogenmod on my HTC Incredible 2; it worked fine until I brought the phone to Europe, where it wouldn't connect to anything except WiFi (and trying to tweak network settings just made it hang).

Please note: I don't use the phone often enough while traveling to make it worthwhile to get a non-Verizon SIM; I'll be happy if it just keeps working using the original Verizon SIM.