I have the same thing with my BL Elizabeth and with the BLCrescendo....I have lots of screw drivers, but like everyone says [my hands are too large also] it's the angle of the stupid thing. I have found one that works and I don't tighten the screws down, just snug so they are easier to remove.
A thought: Maybe put a piece of that rubberized shelf linner on that 'stupid thing' BL came out with so you will have something to hold on to.......I might have to give it a try........let you know if I have success.