If you are in the US (and it sounds like it - in state park) but not sure - you can't just get a tetanus booster- it comes with a few other goodies in it!
You may want to post in vac section for more replies.
Personally- I don't see a need with all that bleeding and besides you would already be infected (which I highly doubt!!!!!!!) and the vac needs almost two weeks to build immunity. You don't even say that it was offered- was it?
You do not need to worry with a wound like you described.
If the people let government decide what foods they eat and what medicines they take, their bodies will soon be in as sorry a state as are the souls of those who live under tyranny." Thomas Jefferson.
Not only would I not take a vaccine for this type of injury, I also wouldn't take an antibiotic.
And a tetanus booster is useless add well in this case. Sheesh.