Cheers dudes. It came out pretty well but it wasn't without a few hiccups and challenges along the way.
I went through three screen in total. The first one I desoldered from the button selection board so I could try and mount it in the front of the case. It was a close fit but it didn't quite go fit but there was only a few mm's in it. Looking at the PCB, as
@samplehunters suggested, I thought I might be able to trim it down a bit so I did so with my router but the screen didn't work afterwards
It looks like there were some hidden traces that I didn't see. I bought another LCD to mount in the way I did above but this turned out to be faulty and the characters wouldn't always display correctly depending on how the board flexed. The board was flexing due to clearance issues between the bridge board and the multi and the back of the screen. I eventually changed the LCD again and changed the orientation of the header pins, they're actually pointing upwards now, not downwards like in the photo above, which gave me a couple of extra mm in vertical clearance. I managed to break the LCD mount doing this though and had to remake that. I think I've had the shell apart/together/apart/together more times times than i would like to admit
Still, all's well that ends well.
The real sucker punch was right at the end after I had got everything sorted and just needed to apply the new sticker. I peeled the old one off and it pulled off a big chunk oi the casing!
I've never seen anything like it. I had to go out and buy some flexible plastic filler and fill it before I could fit the sticker.