First, a short sale is the most complex of your options, that is the one that can take months and months and months, even if you are paying cash.

Next, if you are looking at foreclosure websites, it is highly unlikely that $20,000 is the price, it is probably the amount the owner is in default. The foreclosure sites put up ‘teaser’ information in an effort to get you to put your credit card information in there. Foreclosures sits are notoriously inaccurate. There are houses on a foreclosure site that have been sold months ago, but they still appear there. Typically, a foreclosure home will process as quickly as any other transaction, there are going to be additional forms you have to sign, but the transaction is essentially the same.

I have never heard of a car fax for a home. Your local tax assessor will have information about who owns the home. But in the case of foreclosures, some lenders are using asset management companies to sell their REO properties, so who is handling the transaction might not necessarily be the lender.

My suggestion would be to contact an Orlando Realtor that specializes in vacation homes and let them guide you.
References :
Oregon Realtor