I think what you have is normal. I have run a few extended shoots on one gun and pretty much the same.
I carry a couple small drill bits to clean out the cones as hey have an edge that will cut crud a bit vs the smooth tools.
I also carry Carbon Killer 2000 and a rag as well as patches so I can spot clean things. I do kind of a quick field clean getting the worst of the crud off the back, around the forcing cone and the spindle.
Carbon Killer 2000 is just that, a non haz non (or low) toxic cleaner that focuses on carbon breakup. While its intended for barrel cleaning it works on BP stuff as that is a lot of carbon.
I also carry a variety of screwdriver tips in a multi tool if its thick enough to scrape.
Sometimes a cap gets smashed into the back side of the frame behind the hammer. That area also builds up carbon and needs to be cleaned.
I have a plastic box I carry the BP stuff in. But also a tool box I carry general tools in and my pistol or rifle loads in the bottom.
I try to keep all that stuff in the box or make sure its in there before I leave. A lot of years of shooting and what I find needed all the time but also occasionally.
Our range has garden carts so you can just load it up into that and pull it down to the range. I do the same for my rifle shooting. Another box for that and the Toolbox is common tools for both.