My understanding is that they'll give the subject the warrant, which just describes what they're allowed to search for and where. The affidavit submitted the judge, which describes the evidence that established the requisite probable cause, is not provided.

If the search turns up evidence, and the government wants to use that evidence at trial, then the affidavit is available in discovery.

If no trial results, I don't think there's any reliable way to get at the affidavit.