I had this same issue. I wanted a Littlite because I know of their durability and warranty. Littlite had one that would plug into any XLR port, and it got its power from an external PSU. Unfortunately, it was only a straight connector and not at a right angle. So I contacted Littlite and asked if they could make it with a right angle. Within a few hours, I got a response and they created the light for me:
https://littlite.com/products/product/18xr-led-na
I am currently using that on my GLD and it plugs right into the current port for the light. The dimmer will sit behind the console and you will need a spare plug for power to the light.