Thanks, mike- yes, although I did not work for either BEA or BOAC I am familiar with a Drooped Leading Edge (but, like Google, not with 'DLE'.which is, I think, either a skin condition or a French airport

) It was DR's "the slotless slat" that threw me.
NZ - if this really bothers you, why not try the '1/2 rho Vsquared S' using a flat plate coefficient? Or you could just use <3000psi? Since basic sprung automatic slats 'pop out' due to low pressure at the l edge, I suspect the forces are not great.
I believe the slatted F-86 (before they adopted the 'f c e l e a ' for DR

) had automatic slats, but whether sprung or hydraulic I know not