I was just on the Sea World Florida site looking for the preferred hotels link, and they have the 2 park 2 night packages. The web site has changed from what it used to be, so go check it out. Don't know if the rates will be the same in June, probably not.
Visit the main SWF page, then click on planning, and then you'll see a page that mentions if you saw an ad. On this page, you can click to see the preferred hotels. What I do, is find out the location of the preferred hotels, and on another page, I have maps.yahoo.com up and I enter the address. Then I can see how close it is to SWF.
There is a hotel down the street from the Renaissance that is at the corner, which is within walking distance, but I forgot the name of it. Here's the link with the preferred hotels, don't know if the link will work.
http://www.preferredvacation.com/TElocs/default.asp?ec=0
If that link doesn't work, try the main link here.
http://www.seaworld.com/seaworld/fla/index.html
Check the rates at the Renaissance during holidays, because they lower them during this time, like July 4th weekend. Check out the rates for Fathers Day weekend, maybe they'll be low.