I like the OP's idea as to the land area, but put the capital in Dover, DE, instead. If that won't work, Philadelphia can suffice, as it was the national capital of the U.S. before Washington, D.C., was built.
Type of government: Technocracy with a strong libertarian bent. Among the policies we'd have, there'd be:
--No income or payroll taxes. Sales taxes from the free market will fund the legitimate costs of government.
--All welfare programs would be privatized. Instead of keeping people dependent on the state's golden teat, we'd bring about an Aspie population that doesn't need welfare. (Combined with the national sales tax, as there'd be a monthly rebate on all poverty-level spending.)
--Drugs would be legal, taxed, and the quality and dosages regulated so nobody dies from contamination or overdose.
--Marriage would be abolished. No two people, gay or straight, should have to have a piece of paper saying that they're together.
--All law-abiding citizens would be required to carry firearms and be trained in their safety and use. It would reduce crime sharply (Only a complete idiot would try to rob, rape, or murder someone who's armed) and ensure that the whole nation is ready to take action at a moment's notice, whether it's against an external or internal threat.
--Prostitution would be legal, just like in Holland.
--Censorship of all media would be illegal except for CP. Just like in the U.S., even speech the majority deems wrong would be permitted, because if you silence people who say those things, you're no better than they are.
--Murderers, sex criminals, and war criminals would get the death penalty by guillotine (The guillotine is far more humane than modern forms of execution in terms of speed and accuracy of death), then all records of their existence erased. Thieves and con men would spend time in jail, pay a fine equal to the value of the stolen property, or both. The punishment fits the crime, after all.
--Green energy sources would be used, cutting down our dependence on coal and oil.