You stated that you won't need a surgical kit with the exception of digging out a splinter.
As a hardwood flooring guy, splinters are an everyday occurrence.
I've streamlined removal into a fine art.
Toss a couple of hook blades in your kit. You can control the depth of the cut you are making for removing the small pieces of the splinter that stay behind and fester into infection. Also good for cutting seatbelts and clothing, if you install the blade into a knife handle.
You can find them in any hardware section next to the utility blades, in packs of 5 or a 50 pack dispenser.
We also use them for skinning game.