Hi Nick,
You are correct that copying a compset won't always set every relevant input (it depends on how that particular scenario or use case is configured in each component). For SSTs in F-compset simulations the SST file is usually set by CAM itself, but it appears that for the SSP585 scenario that is not the case (my guess is because it was originally designed for fully-coupled B-compset simulations).
In terms of your particular run, it does appear that the sstice_b.e21.BHIST.f09_g17.CMIP6-hist.011-SSP5-8.5.002_0.9x1.25_yrs1850 2100_timeseries_c20190703.nc file is publicly available (at least it is publicly available on NCAR's machines). so you should be able to just use it directly instead of having to create your own version.
I believe you can use it by simply modifying the variable SSTICE_DATA_FILENAME
in env_run.xml
to match what is in the provided SSP F-compset case, running preview_namelists
in your case directory, and then running check_input_data --download
to make sure the SST file has been acquired.
Of course if for any reason you are unable to download and/or use that SST file please let us know.
Thanks, and have a great day!
Jesse