Wireless in areas with lots of competing access points nearby

I have not been able to find much information on how different wireless access points behave when there is a high density of other access points around that are not under my control to make them play nice.

Long story short sales team has a traveling demo, the access point is a physically smaller unit without a lot of power like a cisco 100 or 300 series. This works great when they take it to places for a sales demo.

However they took it to a conference last year where there were dozens if not a hundred plus wireless access points from other attendees in the show hall and that poor access point got stomped on and the tablets and other wireless devices that were trying to communicate back to their home server though that access point were just timing out.

Now I have been tasked with helping them modify the demo for this years conference. My initial thought is just to send them one of our bog standard corporate access points in autonomous mode but I have never run into this use case and I have no way to simulate this other than going to the local store and buying dozens of different access points.

Our VAR has been able to dig up nothing on this use case from any of the wireless vendors. So I turn to you, have any of you had to deal with getting wireless working around dozens of competing wireless access points.