I'm not familiar specifically with the town of Burlington. But the general area of the state is not bad - although it looks like the town is a little secluded, you're close enough to Emporia for decent shopping as well as Wichita, Topeka and KC for day or weekend trips.
Their community guide says the population is about 2800. That's big enough to not have the
whole town in your business.

I do not know anything about the schools there. greatschools.net has some older comments about problems, but it looks like improvements have been made.
If you didn't find Burlington comfortable, you are close enough to Emporia to commute.
Cost of living should be pretty low. As for politics, KS is very conservative, but there are a few of us liberals hiding about. ;-) I honestly don't know what the reaction would be to your wife's ethnicity. It's sad that this is something you have to consider, but you do. Most people will probably not even give it a thought. But it only takes one or two small-minded idiots to make like life miserable.