Several posters have said that they do not think a landscape rake is a good implement for the task you describe, and I agree with them.
1. Roots still in the ground will probably catch on the rake, setting, bending or distorting some tines so that you get a ragged leveling edge.
2. Loose roots and branches will get stuck between tines, again making the edge ragged and likely gouging soil and grindings into an uneven surface. When you raise the rake to leave a pile, the stuck pieces will likely remain, requiring you to dismount to free them.
A rear blade may catch on roots but hopefully will not bend or distort. Branches may hang up on top of the blade, but the blade is more likely to "self-clear" when raised.
After the initial grading you will have varying depths of easily decomposable grindings and chips that will subside, loose soil that will compact and subside, and various sticks and roots that will tend to "heave". All this means you will have to regrade, and regrade, and regrade until some equilibrium is established.
Your initial post implies that cost is a consideration. In my opinion the most bang for the buck is the heaviest rear blade your tractor and your wallet can handle. Your initial post also states this is a homesite; presumably this will mean finish grading for which a landscape rake with gauge wheels would be appropriate. Some high-quality and obviously more expensive landscape rakes have grading blades and even scarifiers. You will have to be the one to study catalogs and price lists and to decide if such a rake or a combination of implements will be the best choice for you.