Hi Everyone...I've been lurking for several years...quite informative to say the least...
On this subject I have a great deal of experience holding a Government Purchase Card and as a Contracting Officers Representative on many contracts. I hope this will be helpful...
Two methods available to sell to US Govt agencies -- Government Purchase Card (GPC = Visa) or via a contract. GSA is a long and expensive process. My contracting office does not take a GSA price as best price, and over the years I have often bought for less than GSA listed items. Dealing with high volume items such as software licenses, GSA is the way to go. Just depends on the commodity.
Many agencies now rely on GPC for most small purchases. Depending on agency and experience of the buyer the single purchase limit may be $2,500, $3,000 or $25,000.
$25K limit -- Not many agencies allow this level as each purchase must be signed off by the contracting officer (KO) for the card program. That program avoids many long winded contracts and saves numerous trees to use for furniture not to mention valuable hours. Any purchase above $3K up to $25K requires three offers which can be verbal or email.
Up to $3K (or $2.5K) any source can be used so long as its the best value to the Government and the vendor accepts Visa. No need to have three offers. The buyer is obligated to seek the best value, must preference small business, may not knowingly split larger orders into parts in order to bypass the single purchase limit; should seek competition and not place unrestricted repetitive orders with the same vendor; and many other rules. As an example when I equipped our shop with Festools over the course of 18 months, and as decisions were made to add to the arsenal, I made four or five purchases from three different dealers, all under $3K.
I think your best bet is to find the Visa buyer who services that end user and make an offer. You need to find out if this has to be executed before 30-Sep. Sounds like an agency may have some year end money to spend before it expires on 30-Sep. You might ask if anyone in the agency has a $25K single purchase limit authorization. The only other means to spend $10K would be to issue a contract and that probably could not happen before 30- Sep as it has to advertised I think for 15 days. I do not recommend splitting $10K into four or more purchases in a single month as that will almost certainly put someone in jeopardy.
Perhaps you could ask for a smaller order now to cover their most immediate needs. Maybe another requirement comes up in October and another purchase is made then. And the project that comes in Feb funds the next lot of specialist tools.
Sorry for the lengthy discourse -- this was the extremely condensed version.