If you install Chevy's SS 4.7 You will still get the ota download over and over but it will not do anything but keep downloading. Please check the below for a fix. Chevy will have this fixed in SS 4.8.
Also, at the end of this post there is a link, OTA Update Blocking which is good aproch to what I did.
To stop the OTA's below is what I did.
1) Copied system/build.prop to SD Card via Astro File manager
2) connected via "turn on USB storage"
3) opened up build.prop (where you saved it to your SD Card) using notepad in windows
4) found
ro.build.fingerprint=verizon/voles/sholes/sholes:2.1-update1/ESE81/29593:user/release-keys (may look like this or not)
5) change to: ro.build.fingerprint=verizon/voles/sholes/sholes:2.2/FRG22D/50454:user/release-keys
6) saved it
7) turned off USB Storage
8) Open a cmd window (in windows) in your /tools/ dir of your SDK
9) Type the following
9.1) adb remount (press enter. Should say "remount succeeded)
9.2) adb push build.prop /system/ (press enter. Should say success or something like that)
9.3) adb reboot (this will reboot your phone)
You must have the android-sdk_r06-windows (from google) loaded on your computer to do step 8 & 9.
If you have Root Explorer you can edit this file via your phone. I do not so teh above steps is what I did.
you can also see post:
OTA Update Blocking
link with ADB information:
how to adb and why you will love it