Removing rivets

[MWF FEED]

I removed one of my security doors so I can replace the flyscreen mesh. The bloke who installed it used countersunk rivets instead of tek screws. After drilling the heads off the rivets I discovered there's timber inside the aluminium cladding of the door jamb. I expected it to be hollow and for the rivets to drop to the bottom. The shanks of the rivets are captured by the timber but free to rotate. So I can't drill them out and they can't drop down out of the way to allow me to fit screws or new rivets.

Can anyone suggest how I might get the remaining bits of rivet out?
Attached Images

https://metalworkforums.com/images/attach/jpg.gif rivet1.jpg (https://metalworkforums.com/attachment.php?attachmentid=390513&d=1611793412) (176.6 KB)
https://metalworkforums.com/images/attach/jpg.gif rivet2.jpg (https://metalworkforums.com/attachment.php?attachmentid=390512&d=1611793412) (236.9 KB)




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