If you were going to use the 3770 you'd need to pair it with an lga1155 board. Something like an h61, h67, h77, b75. Lga1151 is skylake, 6th gen intel (2 sockets newer).
You might be better off building a more recent system and selling the 3770 instead of trying to round up a mobo for it. A few are still available, there's a couple asus and gigabyte h61 boards but they lack things like usb 3.0 for front headers. If you want additional features, there's an asrock z77 board for $140+ tax.
http://pcpartpicker.com/product/VvMFf7/asrock-motherboard-z77extreme4
At that price you might be better off buying up to date things for a build.