If only we had Supreme Court precedents on this exact issue.
Talk to SCOTUS about it.
Houchins v. KQED (1978): The First Amendment does not require the government to give the press access to information or places under government control. It “is neither a Freedom of Information Act nor an Official Secrets Act.” The press’s core protection is the right to communicate information once obtained, not a right to collect it from the government.
Pell v. Procunier (1974) and related cases: The press has no constitutional right to information or locations not available to the public generally.
Zemel v. Rusk (1965): “Entry into the White House [is not] a First Amendment right. The right to speak and publish does not carry with it the unrestrained right to gather information.”
I have a feeling this is not going to work out the way he thinks it will.