Looks like you're looking for an API monitoring tool. There are plenty of those, including my personal favorite being Rohitab's API Monitor.

An API monitoring tool will record all API calls performed by a process, thier parameters and return values. Features depend on the specific tool but Rohitab's is really complete (and free). Googling for API monitoring tools will provide other good results.

Additionally, IDA has both a limited demo version and an old freeware version. One of those is ought to be enough for what you seem to be looking for.

This project here generates Visual Studio code for building plain proxy dlls:

https://github.com/mavenlin/Dll_Wrapper_Gen

It's based off an older project called "wrapit", which also generates VS code, but takes a little more work:

http://www.codeproject.com/Articles/16541/Create-your-Proxy-DLLs-automatically

I've had some luck with both, they generate valid code that I can build DLLs with. As these are native, functioning DLLs, they should avoid any trouble with anti-debugger code that detects a debugging process hooking in (though, there are conceivably counter-measures that could defeat this attempt too).