Our very first horse (You guys will absolutely cringe) was a 6 year old, mostly green broke, auction mare. We were lucky enough to be able to try her out before purchasing, but my family was inexperienced, I was very young (about 8 or 9) and the whole situation could have turned out very badly! Luckily, our horse turned out to be a great one. We lost her at 13 years due to an accident and I will never be able to replace her. I did a lot of stupid things, and she did too but we learned together and I was lucky to have that experience, as wrong and dangerous as it was. I was never seriously injured while working with her and we came an extremely long way through 4-H. I trained her all by myself and she was a pretty darn good western pleasure/gaming horse before she died.
However, I would not suggest purchasing an auction horse as your first, even though my family got very, very lucky. Right now there are a lot of free horses out there, many of which are fully broke! Some might be a bit older, but that is fine. My personal saying is "I'll take a LAZY horse over a CRAZY horse any day!". If you are just looking to get back into riding gradually, and you will have the land to potentially purchase more horses in the future, I would suggest going with an older QH, thoroughbred, paint, standardbred, or something of moderate size to be your first horse. Many times 4-Hers will go away to college and sell off their project horses cheap or occasionally they just give them away. You might have luck calling your local county 4-H building to find out if anyone has horses for sale. Also, check out craigslist and any other of the many horse classifieds websites. Dreamhorse.com is the one I used to look at.
Luckily in your area, horses are cheap and easy to get, so I would say you should not have any problems finding one to fit your style! Then when you feel confident with your riding skills, you can purchase a more advanced, perhaps a bit less trained horse to work with and show (if that is your desire).
I just thought as well, a lot of times, at least in my area, auction horses are often drugged to behave in the sale ring. We once ended up with a late gelded, nasty horse from auction who was an angel the first couple days we brought him home. He turned into satan after that! The point is, with an auction animal you just don't know. However, private "dealers" can be just as nasty to purchase from. There was this one we visited after my horse died and she would run the horses on the trail just before you arrived. Of course they were well behaved! They were beyond tired. So just be careful out there, and see if you might be able to bring someone knowledgeable about horses with you to shop.