Rootable Phone Segestions

I'm in the market for a new phone and I wanted some suggestions.

I want a phone that easily rootable and that a custom recovery can easily be loaded on to. It has to be a verizon LTE compatible device.

Ideally I would like a phone old enough were it won't be getting anymore otas (so I don't loose root). Getting a phone that has a one click root that doesn't require hooking it up to a computer would be awesome. Does that even exist anymore?

I appreciate any suggestions.

Also if you have a used phone in good condition that is already rooted that you want to sell, I might be interested.

Thanks