The Hunter web site shows it as Baymont Inn & Suites, but it has
apparently changed names to La Quinta Inn & Suites. There is still a
Baymont in Austin, but it is a few miles away.

Here's the URL for La Quinta:

http://www.lq.com/lq/properties/propertyProfile.do?ident=LQ2000

I'm sending this along to the web site, so it may be changed by the
time you see this message... :)