Can't answer your specific question, but many users of conventional scopes on Minis prefer to use the Ruger scope mounts in lieu of the Pic rail, if possible. This is due to less possibility of cases striking the rail and/or scope (possibly causing ejection problems) as well as easier access to bolt should it need to be removed for cleaning.
Ruger makes more than one height/diameter set of rings, and they will exchange your OEM rings on demand. There may be other companies that offer different height rings.
If you elect to mount a "conventional" optic over the receiver--which would not be my choice-- suggest mounting the optic via rings as low as possible, and maybe reckon on some sort of cheek riser in order to get a decent and fast cheek weld.
FWIW, after much expensive experimentation I went with a "forward-mounted" Scout type optics rail. Never looked back. YMMV.
@GOVT_MULE