Don't let others tell you what height rings to get without having them watch you mount the rifle. One guy, with a proper cheek weld, may need lows to have the optimal "use as low as you can use". Whereas the next guy may need high rings, using his proper cheek weld, to have the optimal "use as low as you can use".
However, based on what you stated, you would probably benefit from rings that are lower than those you are using currently. I believe you said you are using medium. If the cheek riser doesn't work for you, "lower" rings probably will. Try low and ultra low. I would, personally, prefer to go to lower rings than to use a cheek riser/pad.
