A similar thing happened to me. I had the S-View case on it at the time ( I know this offers little to no protection ) dropped it from about 2.5 feet about 10 days after I got it. No insurance... Verizon insurance is a joke. 8 additional USD a month and a $100 deductable... but not I have to live with a shattered screen. The cheapest (reliable) replacement option is around 180USD.
does anyone have any suggestions for how I can get the screen fixed for cheaper?