Many things well said.
Assess your training,and what you want to be prepared for.I'm not trained to use airways. When I was current with my EMT card,a pocket mask was considered a good thing.The day I did CPR for real,I did not have one. I can tell you my patient had pancakes for breakfast.I did not have gear. We kept him pink 2 hours before the copter arrived.
When my wifes behind got opened up by a bear,200 miles from the nearest road,I had a 1 oz bottle of Betadyne and a few gauze pads. A betadyne scrub made a lot of difference.Bears do not brush their teeth and it was over 24 hours to the hospital.The doctor left it open,we packed it with sugar. It never got red around the wound. She healed in 6 weeks.
Heart attack? I don't know current doctrine,but I've heard chewing one aspirin can improve survivability.I can't afford a defib unit or O2.
No one has particularly mentioned eyes.I dunno,an unopened bottle of drinking water and eye dressings?
Got snakes?
I'd ordinarily advise AGAINST transporting. For a lot of good reasons.
Got cell coverage at the range? Get the EMS on the way.
Breathing? What tools you need besides maybe a pocket mask?
Bleeding? Direct pressure,pressure points, tourniquet?
If somebody is gunshot on the range...some will die. For the rest,you don't need to worry about immobilization, etc. Keep life(blood and breath) in the body till the ambulance arrives.We aren't doing bilateral thoracotomies.
You don't need a lot more "stuff" than your hands and knowledge.Sure,a kit can help!Battle dressings,etc.Seal off a sucking chest wound .
Unless you know how to use a scalpel,hemostats,sutures,etc,there is only so much we can do.
One brother was a SF Medic VN 1968. Later he worked ambulance,ER,etc.
One case a guy nearly (here in CO) died of a broken upper arm. The high speed pickup ride to the hospital severed his brachial artery.
Personal kit for taking care of little things?Assess your needs. It might be a REI dayhiker pocket kit.You might have asthma or diabetes or? Bee sting allergy? Cleaning a small nick to prevent infection and keep your blood from rustng the gun is straightforward basic first aid.If you know how,you can pick your stuff.Those knit bandaids are good.
Do we still use betadine?(surgical scrub) An oz in a little poly bottle will mix with a bottle of drinking water to do a lot of cleanup.
OH!! How about nitrile gloves? Good idea!
And learn about bloodborn disease,like Hep C,for example.
Some stuff is good,and helpful. But training! That's worth more.Knowing what needs to be done.
Now I'm going to tell you the greatest secret of successfully treating gunshot wounds at the range:
Practice Cooper's 4 rules of firearms safety and do not tolerate anyone else breaking them. No one gets shot that way.
Fail at that.....very good chance no one has the gear to save them.
I assume you have seen what happens when a 30-06 soft point hits a deer.