Hi Tammy,
I am in about the same position as you are, in a tiny area. Until about 8-10 years ago, our closest town wasn't a lot larger and for art related business there was none at all. I kept checking out places to rent and I could not afford them on a full-time basis. As of 3 years ago I built (personally with hammer and nails, myself + hubby) my own 20' x 20' studio. Well, I kind of outgrew it and just renovated an old oak building (from farm days), and now have a 24' x 24' working studio, where I teach oils and do my own work. I now use my older studio for my gallery only.
I know what you are up against and I am still working very hard to reach areas outside of this one. More than likely I would think of as many friends, relatives and past clients that I had and send invitations. If that number is substantial then it may work fine. This too will spread the word out there with others. Personally, I am not worried too much about putting ads here in our local paper. It is very rural and I am just not that kind of personality to fret too much, but I will add that if the place is actually within my home, I would more than likely keep the showing small and quaint.
I agree with Gina and did indeed read the article in The Artist's Magazine and an Open House Studio Tour or the Garden Tour might be better.
We are small here, but I suppose I try to think big anyway. I just finished my studio and hope to have sort of an Open House or Meet the Artist gathering soon. I know several people to invite, and my daughter is a singer in a local blues band and will share the experience with me free of charge, add some wine and cheese, light music background and voila! It will be fun, and a few more will realize that I am a serious artist and will see my work. Usually from functions such as this, whether I sell or not, I often get a commission or two. Plus it is a fun time.
Good luck to you.