I have two lines with verizon. one is edge the other isn't(until friday). A lot of people have to hand in their phones to edge up. i didn't on my first line and i don't on this one. If you call customer service just lie. I know it sucks but verizon screws us why not stick it to them once and a while. i'll tell you what i did and how it worked out for me. i called and said i wanted to preorder 2 iPhone 6+ and that i wasn't turning in my 5s because i was told i didn't have to. i went through the chains...customer service rep, supervisor, then quality control.
Quality control noted my account on the line that isn't on edge i can keep my old phone and go to the store friday and start edge. The other line i just turn the phone in and get one. just tell them someone told you that you could do that and be very adamant about it. Don't change your story stick to your guns. they are really bad at notating files so if they say its not on your file just say well you can go back and listen to calls and find it. They wouldn't have the time to do that and would have no idea who the rep was anyway. After a few minutes they will give in, note your account, and let you go to the store friday and edge up or start edge. the people in the stores can not tell you no if corporate customer service okayed it. All you tell them is go to my account and look at the notes. They will do that and then they have to deal with it even if they don't want to let you use edge.
Edge is their knight in shining armor.
They brag about how wonderful the program is and I'm shocked that they wouldn't allow it. look at all the money they make off of it. Sounds like the reps told you that because they get more kick back for a new 2 year agreement and knew if they said that it would be one less person trying to edge up. Don't give in to their lies! I'll be in line at my verizon store friday morning around 4am and i'll get home by 9 with two 64gb iPhone 6+. The guy at my store(manager) told me he knows for a fact that they will have at least 3-4 of every phone in every color. They already have their stock there. i also know him personally thats probably why he told me. But if i were you stick to what i told you above and you'd be surprised at how well you can make out. i've gotten dozens of free phones over the years this way. i use to get to just pick whatever i wanted!

just have to be able to sell your story and sound legit. If you stutter and change your story they will know you're lying.
I have a strong BS skill...use yours!