One of our instructors is a former TFD paramedic. You probably have a good grasp on what is needed for the range: bandages and torniquets.
While the clotting agents are effective in life saving, he says the medical community stateside is getting irritated with their increased use for anything and everything. They are trying to get the word out: if you can get seen by professional medical help within the "golden hour", do NOT use the clotting agent. If it is used it needs to be cleaned out, which adds time to the medical team working on you/the injured.
One of my friends ran the NRA Shooting Camp over summer at Whittington for a decade. He is quite insistent that EVERY medical kit needs an Epipen. Or four. After our last Marana outing, with two people getting stung by bees in winter, I agree.
Laugh if you want but the best field manual for first aid you can get is the Boy Scout Handbook (I'm advised the 9th edition or older is the way to go).