Are there any?

What area in Chicago are you looking for?
Ashland Avenue near Chinatown has many AMPs.

Nearer to the west burbs like Aurora.

I have also looked for reviews of AMPs on TER and only find one outcall place.

This may sound dumb... so amp's offer only happy endings or does it let customers go all the way?

There are several in Downers Grove on Ogden Ave,and you can look up their addresses in the phone under massages. My ATF is the Green Spa in Warrenville. I have become a regular there ,and I get great service every time; but they are also very nice to first timers.