Most of the 536HP scanners had the warranty extended to 3 years due to all the problems these radios had. The later radios may not have had the warranty "officially" extended, but I think even the blank display is ANOTHER 536HP problem that a smaller number of radios had. I would expect that Uniden should cover this repair?
I would use the 536HP Campaign process to try and get the radio repaired.
I just sent my 536HP in after 2 1/2 years for the headphone jack, back up battery and display LED repairs. These are all known problems and I was patient enough to wait it out because I figured there may be additional problems crop up after the headphone jack problem and I was right. This was all repaired for no charge to include shipping both ways. I will say at least Uniden is acknowledging the problems and addressing them properly. It cost them some money, but today with forums and social media manufacturers better be careful how they handle "known" problems.
https://www.uniden.com/product-information/bcdx36hp-repair-campaign