I was a Procruement Executive and familiar with the purchase of medals for agencies.
Information on contract awards is available in a limited fashion by law. You can get the contractor, award date, price (generally) delivery schedule or date, and if you ask, information regarding any ecconomic price adjustments to the contract (increases written in based on inflation or other circumstances) and degree of competition and if no competition, why not. Beyond that you must apply under the Freedom of Information Act where information will likely be withheld if it could provide ecconomic advantage to any other rival bidder.
Price might be withheld for current contracts if (for example) there is a price review clause which allows adjustments to the current price based on one or more ecconomic factors that might be affected by knowledge of the current price. That means if the Goverment might seek new prices to see if the current price is good they need not tell the price they are currently comparing to.
With those restrictions a review of medal contracts would be of limited value.
In addition, each agency acts on its own. SO while DLA handles MOST BUT NOT ALL Unified DoD contracts (that is the same accross all services) the services would handle their own contracts. Similarly EPA, State, the US Information Agency, (no longer in existence but their medals show up), DOC, DoT, etc would each handle their own contracts for their own medals. They might deal with DLA but the decision would be up to them.
For the Presidential Medal of Freedom, that would have likely been procured by the Executive Office of the President, which counts as an independent agency as far as Goverment Procurement goes. They might have gone to DLA and you could check there, but they might not have.
State Department is known to have purchased (on its own) 100 State Department Distinguished Honor Awards, their gold medal, when they only awarded some 10 medals a year. They apparently kept the remainder in a safe at Main State. So they would have no current contractor. In addition, while they abolished their silver and bronze medals, they still give the Distinguished Service Medal (a 2.5 inch 10 kt gold medal) to foreign recipients and high level senior foreign service officers within the Department. But they bought them bulk a number of years ago so stockpile those as well.
In Federal Procurement Regulations parlance there are some 140 - 150 entities that have independent authority to write contracts as "Agencies". As Medalnut said lesser organizations within those agencies could write orders to suppliers for medals of those agencies (Assuming we are talking more that DoS).
A long way of saying, I kind of agree with medalguy.