I am in a minority, but I strongly recommend that you not do this. My motherboard came with a dongle to present an internal SATA port as eSATA, but the differences in the specs are not just physical. The signal voltage ranges for SATA and eSATA are different. They overlap, so it works sometimes, but I would not depend on it. True eSATA enclosures have a buffer chip to convert the eSATA signals to SATA signals to present to the drive.
Personally, I use bare drives and a bay that allows me to hot-swap them in a running system, connected directly to my SATA ports. This one:
http://kingwin.com/products/cate/mobile/racks/kf_1000_bk.asp .
For my girls' machine, I use a true eSATA enclosure with an SATA drive, but that machine has a true eSATA port. I bought an eSATA card for my PC so that I could read it.
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SATA was not designed to go external, which is why there are not external SATA enclosures. eSATA was designed to go external, and there are external eSATA enclosures and docks. There are many kits to present an internal SATA port as an eSATA port, like this:
http://www.newegg.com/Product/Product.aspx?Item=N82E16812200501
Personally, I would not use one even if it were free. In fact, I have a free one. You can have it if you want.