DM-2636 we modified the tests to be skipped if EUPS is not available. I've had a closer look and all the ones I have glanced at seem to be easily fixable to run without EUPS. The tests seem to be using EUPS to locate the meas_astrom (effectively asking EUPS for the location of the test file), then a path to the astrometry.net test data within the tests/ directory is located and then EUPS is asked to setup astrometry_net_data using that path. Since the table files are all empty this is the equivalent to simply assigning the ASTROMETRY_NET_DATA_DIR environment variable directly to the path in the tests sub-directory.
Making this change to one of the tests seems to work so I will change the rest.