DGN coordinates not matching chosen coordinate system

I'm experiencing some issues with the coordinate system in my DGN file where the coordinates in the file itself don't match the coordinates of the chosen system.

I'm doing work in Hernando County, FL, and for this job, the coordinate system needs to be NAD83 Florida State Plane West, EPSG:2237 with the units in US Survey Feet. I've set my DGN's coordinate system to that one, and I've verified that my working units are in US Survey Feet.

I've attached a WMS by way of an xwms file that shows the county, and then I've also attached a number of shapefiles which all use WGS84 (EPSG:4326) with units in degrees. When I reproject the shapefiles, they line up perfectly with the WMS background. However, the coordinates of the DGN file do not match those which come from the files.

For example, one particular point from the shapefile is located at 28.500596726°, -82.247924429°, which should reproject to Northing=1514789.17067016, Easting=576536.581210096 (I've verified this using two different coordinate conversion tools as well as checking the output in Google Earth and on the EPSG's web map). However, it is actually located at X=175728.7014, Y=461708.6624 in the drawing. That puts the point in the Gulf, about 22 miles East-Northeast of the Dry Tortugas, under a hundred feet of water.

This is a problem, because I need to call out the Northing/Easting on multiple points, as well as at the intersection of lines from a polyline shapefile.

So my question is twofold: why don't my DGN coordinates match my coordinate system, and what can I do to correct it?

Well, I was going to attach a couple files showing the problem, but only the .prj and DGN files will attach. Both are useless without the rest of the files, so apologies for not being able to share.

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