Finally an update _ I didn't fully describe the situation with the screwheads but suffice to say that removing the fairly inaccessible heads was the optimum solution. I purchased a set of diamond tipped burrs over the internet. I had to overcome the problem that these unbranded burrs didn't fit the collets of my Dremel lookalike but, having solved that problem, the head removal (de-capitation?) was achieved!
Thank for all the suggestions.