Have you tried SlimLP? There's a thread on the dev area, give it a try. Samsung ROM is full of bloatwares that we don't use.
SlimLP is great, but it isn't for carrier version of the tab 2. It must be a P5110, P5113, P5100, P3110, P3113, or P3100. I don't believe the Verizon version is one of those.