Andrew, as both Dereck and I mentioned before there is no real way to have a "trial" installation of the system as I am sure you will understand, this is not just an out of the box type of installation. There are many processes and configuration matters that need to be addressed.
If you have an application that you want to integrate Microsoft Dynamics GP data flows, then I am assuming you are a registered developer - if that is the case you should approach Microsoft from the Developer team and see what they can provide.
If you are able to get them to work with you, then you will still need to work with a Dynamics GP professional to assist you with the navigation of the complete system.
Integration Manager is but a small part - it is much more then 'calling an API' to get into the data.
If you want to reach out to me ( email below ) I would be willing to assist on a limited basis to get you onto the right track, but I can not provide the 'link' to the software you are asking for - but maybe ( maybe ) Microsoft will look at your organization from a different angle if we get you in front of the right people in the Developer team. No promises - just an opportunity to provide you some assistance.
DISCLAIMER:
By the way, most of the Dynamics GP Professionals, which is most of the members of the community, provide Consulting services for a fee, some ( many of them ) also provide assistance to the community as a whole on an as is basis where their personal and professional knowledge allows them to assist. These are also a large number of application users that share their time on a different, but as important level. Bottom line, the people here will help when and where they can - but can not provide something that is not available from Microsoft.