Here is the newest available firmware for the Verizon S7 Edge to flash with Odin. Post 1 has Verizon firmware and post 2 has the U firmware. The flashing process is fairly simple. I will try to keep this updated as long as I own this device.
First make sure your PC is properly set up with the Samsung Drivers and ADB/Fastboot from here. After this is done proceed...
1) Download the latest firmware from the link below and then unzip the file.
2) Load the files located in the unzipped firmware folder that starts with BL using the BL button, AP using the AP button, CP using the CP button and finally the CSC using the CSC button in Odin and wait for them to verify. (See Screenshot Below)
3) After the files verify shut down your phone and restart it in download mode by pressing and holding down the volume down, home and power buttons until the phone boots to download mode. Then press the volume up and connect the phone to your PC.
4) Once you are connected and the firmware is loaded press the start button and wait for the process to finish. The phone will restart and then you should be running the latest firmware.
You can load either the HOME_CSC or the CSC_VZW file in the CSC slot. Home will not wipe data and CSC_VZW will.
Odin 3.11.1 thanks @hiepgia for this and thank him here
VZW_S7Edge_PIT Pit file for re-partitioning the file system.
Samsung Drivers Scroll down to Manuals&Downloads
NEW>>>G935VVRU4API3_CL8875708_QB11198937_REV02_user_low_ ship_MULTI_CERT <<<NEW
WARNING!! The latest PH1 update has a new bootloader so you will not be able to flash any previous firmware. Root works but you can not flash back!!