Yeah, I know a lot of rural people live by the old rules and don't see the need for treating their animals humanely. It used to be (still is?) standard practice to let animals starve in the paddocks during droughts. Horrific but that was how the good do-ers were selected. At least these days the farmers go round and shoot the really ill ones.
It is strange that this is ok and expected now with animals but still not allowed for humans. Not that I think starving humans should be shot, but I do think they should have a right to voluntary euth if they have some painful killer debilitating disease in the final stages.
Anyway - I think a special trip for the vax and wormers would be worth it. Just don't feed the puppy beforehand - in case it gets car sick. Again strange that you would have internet access but not vet access.