I haven't read all of the comments on here but I think I know how you can get the platform suggestion to work, assuming I understand the issue.

I am assuming the main issue is that just putting in a vent in any configuration from the machine will result in it hitting the wall. Having the vent go through studs is a bad idea but there shouldn't be any issues running the vent parallel to the studs. So the vent can go into the wall, down to under the platform, come out of the wall, then go where it needs to go.

I'll see if there are any pics or diagrams give posted but if you haven't, those will be helpful.