Buildingmybento, you're skirting around the issue, but it sounds like you'd be open to bribing individuals to get your visa expedited. Not exactly a smart way to go about it ---well unless you are well connected and know the right people. Being an American these days, it does pay to do things the right way, which would mean getting all your visas sorted in your home country.

Sure its tedious and may cost more, but well worth the trouble to avoid unnecessary complications when you show up in those countries. Indeed, for some of those countries you listed as wanting to visit, it could take a month to get a tourist visa.

In my experience, bribing is more often than not more trouble than its worth.