Bob,

You are thinking along the right track, when the case is hot enough the bush will virtualy drop out, you can gently help it along by making a drift, but don't force it.

I find its best to remove the bush and refit it, the good thing about this way is that the bush is cold and the case is hot, very hot, more clearance so it drops right in, but you must be accurate in doing so first time before the bush gets hot, otherwise the bush will be misaligned, not only in the holes not lining up but the bush can go part way in and twist a bit and jam up, then it becomes a real b-t-h to remove again.
You could make up a jig to reinstall the bush.

You really have to think about what you are going to do, and how you are going to do it before you start, and imagine several times in your mind about how it will be done.

Its not rocket science, just be prepared.

YS Service down under