I believe the LMS had a nominal line speed of 90 mph on the S&C. This was later modified by BR to 80 mph in the 1970s (with specific PSRs here and there, of course). Certainly, I'm pretty sure that compound 4-4-0s (ie steam) could do Appleby to Carlisle non-stop in 30 mins, ie averaging 60 mph, albeit downhill 99% of the way.
Since then, the bar has been significantly raised regarding signalling and other standards and either
@ChiefPlanner or someone some years ago wrote that studies have made it clear that upgrading the line speed cannot be justified on cost grounds.
As
@Iskra writes above, it certainly has little point if you are stopping at every shack. For limited stop schedules (if any TOC should believe they are worthwhile running such timetabled trains), 75 mph would be a decent compromise target.
But I don't think the S&C could ever come close to getting 100 mph clearance in the modern world.