I am going to stay out of the ring selections disscussion, I use both systems and have had good results with each...
You did not say what caliber your rifle is.... I bought my son a Savage 110 package 300 Win mag and without measuring we replaced the scope with leupold vxi 4x10x40mm...the scope was shorter than the opening of his action. It took me three orders to get the correct extended mounts. If memory serves me I wound up using Burris because they worked.
The reason why I didn't go with a one piece Weaver style system was because of the clearance of the ammo to the bottom of the mount base and his big fingers (he was 5'10 and 240 @ 15yrs) being able to get into the action to push the round into the mag. I have a one piece mount on another savage and it really frustrated him to load it.
Personally I like a gold ring on my scopes but I have helped friends mount refurb Nikons on their rifles and danged if that cow elk or deer didn't drop just the same... I wouldn't own a rifleman series scope either, vxI yes. I don't want to inflame the Nikon over Leuopld debate but there is that gold ring you see... No knock against burris (I own one of these to and a spotting scope), just double check their measurements before jumping in to one of their package deals if your so inclind. They are really attactive offers but the scope is a little short. Even if you have a short action rifle measure just to be safe. You will get more bang for the buck with a 3x9 it is the bread and butter of the scope industry.