Verizon isn't in NH - they sold their assets to Fairpoint, which hasn't built out FIOS beyond what Verizon had already done. There was never TV over FIOS in NH, that I'm aware of. As for viewing pictures on your big screen, I highly recommend
Google's Chromecast, a $40 thumbdrive sized device that plugs into your TV's HDMI port. Then, you can wirelessly cast your browser or whole screen to the TV. It can also directly play Youtube and Netflix (and apparently now Hulu Plus) sessions.