Just guessing here, but their site may be
blocking/redirecting HTTP calls that don't appear to be browsers.
So, with cfhttp, you can "pretend" you're a browser by passing in
browser-like headers with something like the following:
<body>
Here I am on the posting page<br />
<CFHTTP url="
http://some_domain_here/form_ok.cfm"
method="POST" resolveurl="yes" throwonerror="yes"
redirect="yes">
<CFHTTPPARAM type="HEADER" name="User-Agent"
value="Mozilla/4.0 (compatible; MSIE 6.0; Windows NT 5.0)">
<CFHTTPPARAM type="HEADER" name="Connection"
value="Keep-Alive">
<CFHTTPPARAM type="HEADER" name="Cache-Control"
value="no-cache">
<CFHTTPPARAM type="FORMFIELD" name="test1"
value="Hello">
<CFHTTPPARAM type="FORMFIELD" name="test2"
value="World">
</CFHTTP>
</body>