Okay so I got the inner and outer tie-rod replaced.
I cheaped out on the parts, bought the O'Reilly'* house-brand.
Outer for $20, inner for $15, tube of lock-tite $7.
Borrowed (with deposit) their removal tool.
So I might get out of this for $45 plus $60 for the alignment.
If so, I'm counting my blessings, including the fact that sliding
into that ditch could have been a serious crash with injuries.
This was the most helpful thing I found on how to do the replacement:
How do you replace an inner tie rod end on a 2001 Pontiac Grand Am
Pretty easy job except for that damned bellows.
I couldn't get a zip-tie back there to re-clamp it to the rack,
nor was I able to get the air tube that goes between the bellows back in either side.
I drove it gingerly down to the alignment shop (3/4 mile away)
and told them to do those two things on top of the alignment.
Should have her back by lunch tomorrow.
Hoping there'* no bad news from the tech.