I have that same bushnell on top of my AR in a Millet scope mount. From the bottom of the cradle in the scope mount, to the rail on the receiver it is 1". The front of the scope is just over .5" above the top of the free float rail. So my scope in a 1" tall mount gets the front and back of the scope to sit about 1/2 inch above the top of my AR. I know you are looking to put it on a ruger but wanted to give you my specs for reference.
The website shows those rings at "extra high" measuring a little over half an inch. So in your case with what you want, I would estimate it is going to set pretty close to the top of the rifle.
-correction, I have the 4.5-18 power bushnell but I think the dimensions will be pretty close. I would feel safe saying the extra high will work, and maybe you can squeak by with just the high ones.