You can list all the tags you want in the response in the query itself. However, the other modality might not be able to report any tag in a C-Find response.
If you want all the tags, your only solution is to retrieve at least the first frame of a series.
Once you have the SeriesInstanceUID, you can perform a query at instance level to retrieve all the SOPInstanceUIDs of the given series. Then, once you have the SOPInstanceUID, you can C-Move a single instance to yourself and you'll get all DICOM tags.
HTH
Alain