Wisdom Tooth Cavity

I'm probably in the minority in that when I was a young teen my family dentist said that I wouldn't need to have my wisdom teeth pulled because I had plenty of room for them in my jaw.  However, now that I'm 26, I've developed an issue with the lower wisdom tooth on the right side of my mouth.  It's got a rather massive cavity and, for the last three days or so, has been hurting somewhat severely, particularly when I bite down.  Over-the-counter pain medications barely make a dent in the throb and Oragel only succeeds in making my tongue numb.  An old remedy taught to me by my grandfather (a mix of cloves, cinnamon, and strong booze packed poultice-like over the tooth) helps, but not for more than twenty minutes or so at a stretch.  Compounding this issue is the fact that not only do I not have insurance, but I am currently unemployed as well.  I literally have a grand total of $.76 to my name.

My questions right now include the following:

Though in my hometown I could have gone to a dental school nearby to have this issue addressed for free, this is not an option in my new location; is there such a thing as a free clinic addressing dental issues (specifically for the El Paso, TX area)?

If free care is unavailable, what other options do I have in order to have this problem taken care of?

I know that dental care is much cheaper in Juarez (which is literally only a few blocks south of where I live right now), but they've been experiencing some rather horrid problems recently and as a result travel to Juarez is highly unrecommended - though if this is the only way I can be rid of the horrendous pain in my jaw, I'll seriously consider it.  Does anyone know what the cost is of having a wisdom tooth extracted in the US versus having the procedure done in Mexico?

If all else fails, is it possible to remove the tooth in question at home?  I mean, I know with other teeth practical application of force can loosen them and then removal is easy, but I also know that wisdom teeth are normally bigger than other teeth, and as a result would have larger roots.  Would this make getting rid of the issue more difficult than if it were any other tooth?

Sigh.

Sorry if this comes across somewhat disjointed - I may have mentioned I'm in pain and not slept well (or at all) for several days.  Thanks in advance for any information you can offer.

[StratRebel]

Removing the tooth at home presents a horrid list of problems, so lets not go there.  I would rather see a patient have mexico treatment than home treatment like that.  Lower wisdom teeth are more difficult than upper.

One thing I can suggest is go to the TDA (Texas Dental Association) website or call them and find out if anyone in the El Paso area is offering charity dental work.  A lot of dentists offer community service dental work a couple of times during the year.