Well, as always on this forum, I have learned a lot from the experts.
Having no access to a lathe I couldn't turn down the shaft and re-thread it, so that option was not available unless I bought and learned to use a lathe. Shudder to think what SWMBO would have to say about that!
So, I held the prop down on a piece of hard styrofoam using gloves, (thank you for that good bit of advice) and drilled out the holes very slowly and carefully with lots of oil.
Used incremental drills and then tapped the blind holes.
The method worked, much to my surprise, and the props don't wobble on the shaft.
But, I really wouldn't suggest that anyone try it. Too many things could go wrong, and I wouldn't ever want to do it again. Hopefully, with better planning on my part I won't have to.
Thank you all for your good advice and ideas.
Ian