As Uncleharley says, it's difficult to assess the differences when it comes to property taxes, because each county, or even each municipality is different.
Some county's have a website where you can view assessed values and tax burdens, but, you have to either know the owners name, tax id, address, etc... to find out what the burden is. Most county's in South Dakota do not have anything listed other than an address of where to pay your taxes.
I moved out of South Dakota due to the taxes that I had to pay. It was much cheaper to move up to Wyoming, but, I lived in Pennington County, in the Black Hills. Our tax burden went from about $800 per year, to about $3500 a year, in a 3 year time period. Taxes sky rocketed. They said it was because Rapid City was expanding in that direction and the taxes had to be increased to pay for ammenities such as fire hydraunts, street lights, signs, etc... Keep in mind that we lived almost 18 miles out of town. That was back in the 90's and to this day there are no street lights, fire hydraunts, etc... They did put up some better street signs.
Like I say, I moved out, and it wasn't a simple matter of just moving to a different county, job requirements and quality of life had to be counted for too.
I did find that Wyoming was considerably cheaper than South Dakota.