Pulling carrier is tough sometimes. You can use your flywheel puller, but you will have to rig up some pulling rods. They will be as large as possible, maybe in the 7/16 range, maybe even 1/2. Make a sharp bend to hook in behind 2 of the carrier spokes. It is a tough way to do it, because the puller wants to flop sideways. You don't have three pulling points, only 2.
Another way is to Loop a piece of chain thru the spokes and hook a slide hammer to the chain. Go to it. I have used a 10 pound slide hammer.
Heat, heat, heat.
You are only doing one, so the pullers will not be cost effective for you. Why not take the LU to a marine shop and just have them pull it out?