Is there a work around I can do?
No, anything you do to "simulate" these connections may present a safety hazard or create a noise problem. It isn't impossible to remove the screws in the pertinent areas, then scrape underneath them with a chisel or small knife.
Would I have to then do this to 13, 18 & 28? And the No. 8 screw/solder tab by the power cord?
Yes.
Anywhere else?
I don't believe so.
Can I scrape off the paint next to those areas and solder the terminal base to the bare metal?
Soldering to aluminum is very, very difficult to do. You have to deal with the oxide layer and you have to use a solder without tin in it. In addition to this, when you get the plate hot enough to actually get a joint, you'll burn the powder coating right off on the other side of the panel.