I've actually done a ton of research on rabies for my current WIP, so I've learned a few things. Hope this helps.
Essentially, though, the prophylactic treatment either works or it doesn't, and time is of the essence. Once a person develops a symptomatic illness, it is almost invariably fatal.
Also, I don't think the stomach shots are done anymore. At least according to this website:
http://rabies.emedtv.com/rabies/rabies-treatment.html
This.
Guardian, rabies shots are administered if a bite from an animal with rabies is suspected. If symptoms have begun to show, it's too late--the shots are no good at that point. The whole point of rabies vaccine and rabies treatment is to prevent symptoms from appearing in the first place.
By the way, here's the schedule and doses of what's given to both previously vaccinated and unvaccinated persons:
http://www.health.state.mn.us/divs/idepc/diseases/rabies/risk/postexposure.html#regimen
Rabies has an incubation period of 2-3 months (
http://www.webmd.com/a-to-z-guides/rabies-symptoms), but in extreme cases it can be anywhere from a few days to several years.
The thing about rabies is that it travels through a person's nerves. For example, the virus will generally take longer to reach the brain and central nervous system from a bite to the foot versus a bite to the neck.
Regardless, if I understand your story and predicament correctly, you don't have a dilemma at all.
Unvaccinated character gets bitten. As per the link above, she receives a tetanus booster (if her tetanus vaccine was given more than 5 years prior), human rabies immune globulin aka HRIG (essentially an antibody serum that's administered near the bite to begin fighting the virus immediately) and four doses of the rabies vaccine (the last three are given 3, 7 and 14 days after the first dose. They are injected in the shoulder for adults and older children, and the thigh for younger children).
If the local doctor is well-stocked, there's no need to go to the hospital, and I'm not sure why Medevac would enter the picture. Even if necessary, couldn't she just drive to the hospital?
In summation:
The best and most logical way for this to play out, in my opinion, is the following: Unvaccinated character gets bitten by an animal that's suspected to have rabies. Character moseys on down to the local doctor, says, "Hey Doc, I've been bitten. Can I get some rabies shots?"
Local doctor says, "Sure!"
Doctor administers a tetanus booster, HRIG near the wound site, and one dose of rabies vaccine, then says, "There's three doses of rabies vaccine left. Come back to me in 3, 7 and 14 days and you'll be right as rain."
Character says, "Thanks!" and goes on her merry way.
Two to three months later (or sooner/later if your story demands it), she develops symptoms anyway. At first, she thinks it's just the cold or the flu--fever, headache, tiredness (see
http://rabies.emedtv.com/rabies/rabies-symptoms.html). She sees the doctor and the doctor says, "Gee! I told you you should've gotten your flu shot. Oh well. Go home, take some aspirin, drink plenty of fluids, and get lots of rest."
A few days later, she's got classic rabies symptoms. Doctor says, "That's weird..." and suggests maybe she should go to the hospital to get tested (see
http://www.cdc.gov/rabies/specific_groups/doctors/ante_mortem.html) but by then, it's too late. She dies a couple days later.
As a side note, based on your first question, rabies vaccine is generally good for 2-3 years (
http://en.wikipedia.org/wiki/Rabies_vaccine), but even then, if someone who's been previously vaccinated is bitten, they have to get two doses of the rabies vaccine (the second dose is given 3 days after the first). Previously vaccinated persons, if their titers are good, are not given HRIG.