I have recently replaced the blacked out LCD in my climate control unit, and struggled to find an LCD for a right hand drive car. I did eventually find a supplier in the States, so I thought I'd share the details in case anyone else is looking for one. (I've confirmed that he's happy for me to give out his details).
The guy's name is Hai Ho (not kidding!)
His email address is email@example.com
He's also on eBay in the USA. His user ID is mercuryrunner, but he hasn't always got RHD displays on eBay. Check here
He charged $50 for the RHD LCD. This also includes 6 or 7 of the little bulbs that illuminate the unit, so that you can replace these at the same time.
Regarding shipping, this is what he offered me:
I went with the $12 shipping option, which also seems to include tracking within the USA and delivery confirmation in the UK.
I received my LCD within a week. It was well packed, and works perfectly so far.
The seller can provide fitting instructions. I used the tuturial on lexls.com, although I found it hard to desolder the existing pins, so I used a sharp set of wire cutters and just snipped the old pins off, then soldered the new pins on top. Be careful if you do it this way though, as I accidentally pulled off a solder pad when one of the pins didn't cut properly.
I'd say it's definitely possible for an amateur solderer to swap the LCD (I'd barely soldered anything before this). Just be careful and take your time. It doesn't even need a particularly steady hand - I was pretty nervous when I started, so was shaking a bit!
However, you might prefer to get someone else to do it. Try a TV repair shop (if they still exist??), or a fellow LOC member can probably help out.
Hope this helps someone out.