I first used my SMD solder station with some mylar tape around the housing and surrounding components for protection to try to reflow the solder connections. After that was unsuccessful, I attempted with my pencil iron and after several attempts back and forth, the housing has gotten so hot, along with flux seeping behind the tape, that it is extremely discolored and seems to be slightly malformed.
That's a bummer. It is a chore to get at for sure!
I did have the best luck using my pencil iron with a very skinny needle pointed tip. I managed to get it done without damaging the connector.
Somewhere while also trying to ID an actual part number, I'd ran across some spec sheets that showed how much tolerance there was for misaligned connectors between the two boards when assembled and tightened in place. It would be cool if they made that connector where at least one side or the other had 'floating' contacts so any misalignment would not put undo stress on either connector.
I could see how making such a connector floating would be hard though.
I had the same exact style connector fail in the same fashion in one of Panasonic's higher end IP camera's. It failed due to the two boards not being perfectly aligned when put together and tightened down. I think the cam had fewer contacts though plus I did ruin that one when I went to try and reflow the pins that had lifted off the PCB. Upon further examination, I found the pins were probably soldered correctly but the traces or solder pads on one of the two PCBs had lifted off the board making a repair near impossible. I started tracing the traces to repair the ones that had ripped off the board but it was not going to be an easy job for my old eyes. I eventually gave up on that repair!
Good luck in your repair attempts if you do find the same connector but in your country so shipping does not kill the deal!!
Uniden may just replace the entire board but if it's the logic board, make sure you include a note about any of the optional modes you may have purchased. They can clone the original boards serial number and I think they usually do that but there have been a few reports where the tech may have missed that step and the owner had to call to get them to issue new keys for the optional features.