Find the player in the draft center, using one of the Utility positions. Right-click on the + (add player) button and choose Copy Link (wording varies by browser/platform). Paste the copied link into the address/url bar at the top of your browser window. It will loook like this: javascript:SelectPlayer(13,2202799,"Young","Michael",2003,0,0,-1). The first number after open parenthesis (13 in this example) is the draft-center slot the player would go into. Change that number to whatever line you want him drafted into. C is 1, 1B 2, 2B 3, etc. The first pitcher slot is #20. To draft Michael Young as a catcher, you'd change the 13 to a 1 and it would read as: javascript:SelectPlayer(1,2202799,"Young","Michael",2003,0,0,-1). To make him your third OF, javascript:SelectPlayer(8,2202799,"Young","Michael",2003,0,0,-1).
It works in some browsers and not others. On my Mac, it's easy in Safari and Chrome, and doesn't work in Firefox. If you can't get it to work, just get the players into Utility spots and send a ticket to support asking them to move the players.