I installed CyanogenMod on my Tab last week. As well as it runs, it just makes me wonder why Samsung has had no interest in putting out an official release of ICS? (Nevermind, I already know the answer...)
All critical services work (3G, WiFi, Bluetooth). I've had no problem with apps. My biggest issue so far, is that the screen sometimes fails to rotate correctly, forcing me to reboot. It doesn't happen often. The Tab seems to be, overall, more stable than it was with the official 2.3 release. The second biggest issue, is that the cell network displays as Verizon Wireless. I've checked my usage history on the Sprint website, and I can confirm that I'm definitely using Sprint...it's just a label. I'm hoping to find an easy way to fix that.
I did try one of the other versions (it may have been AOSP, but I'm not sure), and I had a WiFi problem. I would receive a strong signal, but I never could connect. So I went back to CM.
In short, it's almost like I have a brand new tablet.