Slightly related - I dropped a laptop one time with a similar result. When I powered it up I got to watch a real rainbow of colors emerging as the liquids diffused in the screen! It was completely useless however. So I found the exact model on eBay. That one had a bad HDD and was priced accordingly, but the screen was in 100% OK shape (a condition of the sale). I made the swap myself taking several hours and a few uttered explictives along the way, but in the end I had a fully functioning laptop again...and a few leftover screws...! The repair was considerably cheaper than buying a new screen from the co., and as it turned-out I also needed to replace the keyboard not long after that, so the second repair cost only my time. (The final irony was that about 1 week after the second repair the damn thing was stolen from my car!)
But for me, swapping a TV screen, especially a larger one, is probably out of my league. If I had your situation, I would do like primestar31 alluded and find a dead unit of the same model elsewhere, perhaps eBay or from a repair center. I wouldn't buy it right away, but have someone else confirm that the original display in my TV is indeed cracked, and get a quote from them for swapping the panels. (I would expect to have to absolve the repair center of any liability for a "non-repair" in case there's something wrong with the used display, and agree to pay their full price anyway.) If the total cost seems reasonable vs. just replacing the TV then I might order that used unit and proceed. Only the owner can determine whether or not this makes sense based on the age of the broken unit, total repair cost, prediction for success, and other factors like "Is it time to upgrade anyway?", so YMMV...
Good luck with it, and do report back...!
BTW - I'm not quite as sure that a single vertical line is a crack in the display. It could be a bad connection somewhere, and that could be a rather simple repair...!
Welcome, BTW...!