Default Screen Repair?

Hello everyone.

Just bought a Nexus 5 off somebody on craigslist, one big issue. Broken digitizer (I did know this when I bought it). Glass itself is mint, not even a scratch. However, the digitizer is all kinds of f***ed up, and the touch does not work. Phone itself works fine, I can confirm.

Has anybody sent their Nexus 5 in to LG recently for screen repair? If so how much was it? It would be $10 to send it in and either get it fixed or not, so I'm wary about sending it in without knowing a price. Anybody know? I'm guessing $100-$150 area, friend could do it for me with just the parts but obviously I'd prefer LG to do it. Just wondering.

Thanks!
T-Mobile since 2007

Current Phone: LG G2 Sprint
ROM: Stock 4.4.2 from T-Mobile (of course using with T-Mo)
Retired/Previous Phones: iPhone 3G, Blackberry 8320, myTouch 3G, Motorola Cliq, myTouch 4G, Nexus 4, Galaxy S3, HTC One X+, Galaxy Note 2, Galaxy S4 Active, iPhone 5S, Nexus 5, HTC Evo 4G LTE, Xperia Z, Galaxy S4, HTC One

Current Tablet: None
Retired Tablets: Nexus 7 2012, Galaxy Tab 2 7.0, HP Touchpad, Kindle Fire, iPad 2