you can get screens and parts for the psp 1st gen and 2gen of acidmod forums google it for liek 20 bucks id fix it if i were you becuse its worth ore working then broken
No i know what you do i have had this problem before, i sold mine on ebay for 50 bucks but mine was an older one so if you have a slim it might go for 60-70 bucks a lot of people fix them up and sell them soo thats your best bet or yea go to sony and they want like 80 to fix it.
Like Knight said, you can buy a new LCD screen for cheap and replace it. But you would need electrical expertise or have a tutorial or it would be just as good as throwing it away.
Selling for parts would probably get you less than $50. I would try to repair it or buy a new psp.