There are two possible answers here well at least anyway. First is the one you already mentioned: stop chasing the BBS. This has helped me immensely this month and even though I am using one of my less favourite blades the entire month zero irritation and BBS- shaves are my reward. Go figure.On the other hand, I worry that some (Timeless, FaTip) are excessively aggressive for daily use, unless I don't strive for BBS.
Which is in part answer two: no pressure combined with the right razor/blade pairing. The Timeless and Fatip should be fit as daily driver without irritation with the right blade. Will take some experimenting but the rewards are great. YMMV of course.
Cheers,
Guido