Thank you so much for posting the aerial picture and survey. I appreciate it. It has cleared everything up for me. I hope I can now clear everything up for you.
For the 3 pairs of coordinates you provided in your original post, only the second and last pair are relevant. The first pair doesn't do anything to solve this grand riddle, What is the Mysterious coordinate system. The coordinate system you are looking for is MN-N NAD27-US feet, EPSG 26791.
1-Modelspace set to MN-N. The survey has been scaled, rotated, made slightly transparent, then superimposed onto Bing imagery.2-MAPCSASSIGN on commaand line. Search for MN-N. Select EPSG 26791.
The point you have highlighted with the red revision cloud is describing a point in PLSS, Public Land Survey System, an old, obsolete, drive you nuts, system used to divide and plat real estate. The system began in the 1700's prior to the invention of double AA batteries, Trimble handhelds and steel toe boots worn by field personnel who must comply with OHSA. Although absolutely archaic, it is still in service today (I wish the system would bye-bye, for good). It's immortality is phenomenal. It's probably because no matter what CS you use, it still holds sway.
All you gotta do is scale the your survey, perhaps rotate it a little too, then plop both the survey and the point in the rev cloud onto your x,y coordinates in modelspace. Then turn on Bing imagery. You should try, and use, different CS's that are applicable to your site, e.g. MN State Pln NAD 83, UTM83 zone 15, St Louis County system, MN-N NAD27. The last one worked (it's always the last one, I should've run through the list in reverse:). can also try different units, feet, meters, international feet, inches, etc. Since there are only a finite number of CS's, you are bound to 'hit it' especially when you use MAPCSASSIGN as opposed to establishing your CS from the Civil Toolspace.
The key to this entire exercise is the first point from the opening post which is using St Louis County transverse Mercator 1996, it must be ignored. It has nothing to do with the price of tea in China nor this riddle.
Chicagolooper