white screen of death & broken home button-help!

I have an old iPod 4th generation that hasn't been touched for quite a while. It has a white screen and a broken/stuck home button. There are thousands of photos that are very important to me and id love to somehow get them on my computer, however because the screen is white and a hard reset is not working I cannot seem to get my iPod to "trust" my computer and gain access to my photos. Is there a solution Im missing? Would buying a new screen help?