It could be a VZW issue as the other half of VZW is CDMA and CDMA is a battery killer. Sometimes my phone connects to EVDO instead of LTE (especially in the Northampton/Amherst area and up in Maine). GSM is gentler on batteries than CDMA.
gotta use at&t in western mass and all of new england. I have NO issues with battery life after being now on my 3rd iphone over the years. the download speed is also a LOT faster. I know they don't have a huge LTE market here yet but the hspa+ is sure as heck quick enough for email, web surfing, etc.
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