This is always tough. I am an LD and also always shoot my own shows. There are a variety of things that could be making everything look muddy. Some of them may be the camera settings. There is no "
LED" dummy mode on many DSLRs. You get Sunlight, Interior, Florescent, Cloudy and
Incandescent. I have found that using the
Fluorescent mode comes the closest to getting your
ISO/
White Balance to the LEDs. But it also totally depends on your LEDs and their quality of light. The fixtures you listed, especially in the saturated colors are likely outside of the "Color Space" the CMOS on the camera can handle. This is also what adds to see artifacts/
led fringe in pictures. Basically the camera sensor can't see that wavelength so it doesn't have any clue how to balance the
fixture.
This
image might help make it more
clear.
The grey triangle is the colorspace something like your Showline SL 155 can hit within the industry standard CIExy colorspace.
The red triangle is the Rec2020 colorspace a camera uses. While that is usually more related to top
level film/tv cameras the concept still applies.
You can see there are saturated colors like Dark Blue that are outside of the range of the camera where the cross hairs are. This might be one of the many issues causing your images.
If you have the ability to
stage a shot I often find with the over saturated
LED colors if you can have the designer pull back the
intensity you you can start to work with them to craft a better staged shot or a
base look and then run a section of the scene in real time to capture those moments.