A lot of the sweeping stuff won’t work, exactly, but as far ad his picked runs, stiff like the Yngwie 6s pattern, I can play it as a two-way pattern simply by doing a rotational movement from my default escaped downstroke orientation to move into a temporary escaped upstroke just for the string changes.
But, end of the day, if you want to full replicate his style, it’s based pretty squarely around an escaped upstroke/never change strings after a downstroke unless it’s a downwards sweep movement, so it might be worth spending some time exploring a pick motion where you bury downstrokes, if playing Yngwie lines faithfully is an important goal of yours.
Barring that, you could always just go about reverse engineering his licks and creating your own licks to revolve around escaped downstrokes - sweeping upwards when possible, using hit ons or pull offs in picked runs to allow you to change strings after downstrokes in a run that would normally change after an upstroke, etc. Could prove interesting.