All antelope are drawn for by applying for a certain unit and it takes a certain number of Preference Points to draw a tag depending on the unit you put in for. Without knowing the exact unit you want to hunt and just saying "out by Laramie" it's impossible to make any comments about public access. The tag you would draw is for any legal weapon and by buying a $30 archery permit you can also hunt the early seasons that start in August or September with a bow or crossbow. If you don't fill the tag, you can then hunt the later seasons that are mostly in October. A PP for antelope is $30 and you can buy one a year between 7/1 and 10/31 and that PP is good for the draw the following year. Log on to the G&F website and take a few hours to go over everything , as it will answer a lot of questions you will have.