Maine, Maryland and Massachutes being in the eastern US and antelope being of the western plains there are no antelope in these 3 states.

Michigan, Minnesota and Mississippi don't have any Antelope or Caribou.

Missouri doesn't have any Antelope but Montana and Nebraska do. The eastern 2 thirds of Montana has Antelope along with westerhn Nebraskia. Nebraska is somewhat limited for the outof state hunter. For a non-resident to shoot a buck antelope he must use archery equipment, crossbows are ok. If he wants to shoot with a rifle he must shoot a doe antelope and the license is a full priced antelope license. A much better hunt is to go into Wyoming or Western South Dakota where their is no antelope weapon pricing discrimination against non-residents. 

None of these 3 states have caribou.

New Hamshire and New Jersey don't have Antelope but Nevada does. In Nevada they are few and far between unless you find a year around water source. They are also quite pricy for vouchers, license and access. The farther you travel east the cheaper they get and also more plentiful.

There are no Caribou in any of these 3 states.

New York and new Hamshire don't have Antelope but New Mexico does. In fact New Mexico ranks number 1 for the most antelope in the record book even though ther population is only a small percentage of the number of Antelope in Wyoming. It is all about the mild winters on a moreless fragile animal. None of these 3 states have Caribou.

Both North Dakota and Oklahoma have Antelope in Limited amounts. Most big game in North Dakota is limited to residents of the state if you are a rifle hunter. Ohio does not have any Antelope and neither of the three states have Caribou.