There is no way to do so in game in vanilla.
You can try mods or save editing though that might entail more than you wish to contend with, especially with more convoluted changes.
There are also items that fill the same niche as most rings that are slightly different, like the golden spur trinket which gives you up to a 10 second boost when you crit (though the boost is only 1 speed, not 2 from the savage ring - it does stack though)