If your manual has a load for a 62 grain bullet, you should be able to use that one without any problems.
If your manual is the Lyman #49, there is a recipe for a 63 grain bullet on page 139. It doesn't say anything about the contender but why not use that data. Start out using the minimums and work from there.
I compared the data of the 55 grain bullet (contender load) with the data for a 55 grain rifle load and the data is exactly the same, with the powders listed.
I have not developed any special load for my .223 contender. I just use whatever I have laying around!