Yikes! That thing must be putting out some power if the frame isn't rusted full of holes!
A 4 point bar would probably be the easiest thing to do, but it'll pretty much cost you the back seat (even the ones that go around the back seat don't really allow for safe passenger transport in the back). But if you're hauling groceries and not passengers some of the 4 points are easy enough to deal with.
You can get creative though. I've heard of guys running 1 1/2" tubing down the insides of the rocker panels to tie the subframe outriggers together, that will stiffen torsionally better than the frame connectors. And might be your ticket since you're flexing at the rocker panels.
You could also go for some "through the floor" frame connectors, they're a little larger and don't step down to avoid going through the floor boards, the larger cross section will resist torsional load better. They also get welded to the floor boards, adding stiffness not only by being larger but by reinforcing the floor. The other ones would have to come out for that though.
Take a look at some of the XV products as well. At the moment they only make the lower radiator support for A-bodies, but their engine compartment and inner fender braces (for E and B bodies) would help stiffen things up at the A pillar if you did something similar for the A-body. I understand they're working on more stuff too, might be worth calling them and seeing if they're planning a release of any more chassis products for the A's. Otherwise you could do some custom ones yourself.
That's about all I've got, unless you start welding 3/16" steel plates in for floorboards. :-D