Sorry to hear you've been having trouble installing UltraChannel. I take it you have had no luck getting UltraChannel working in Adobe Audition then? It sounds to me like the installer is working correctly. The installer should install the following files:
AAX32: C:Program Files (x86)Common FilesAvidAudioPlug-Ins AAX64: C:Program FilesCommon FilesAvidAudioPlug-Ins VST32: C:Program Files (x86)Common FilesSteinbergVST2 VST64: C:Program FilesCommon FilesSteinbergVST2 Presets: C:Users<user name>My DocumentsEventideUltraChannelPresets (these will be all of the .tide files you mentioned)
Can you confirm that all of those files are in fact present on your machine? If they are, in Adobe audition go to Effects > Audio Plug-in Manager, and in the VST Plug-in Folders section, add c:Program FilesCommon FilesSteinbergVST2 as a custom folder (assuming that Audition is 64-bit). Then in the Available Plug-ins section, hit Scan For Plug-ins, select the plug-ins you want to access and hit OK.
Please let me know if that doesn't solve the problem.