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The strategy is to defeat their first big army head-on to get a good starting warscore, slowly grow warscore with harrying armies that are small enough to not suffer attrition, then besiege the target county to finish off your warscore. Eventually you simply don't have a large enough army to continue the siege, and that's assuming their allies haven't torn apart your siege force. These counties have huge levies and very low supply limits, often with more levies and garrison defending a siege target than there are supply limits! Sieging such settlements is nearly impossible, since it takes so long due to the large force of defenders, and your own armies are suffering massive losses due to starvation. The gist of the method is to win with battles, not sieges. I'm playing a game now that started with Poland and has successfully created Lithuania and the Wendish Empire, so I can share what I learned works and doesn't work from hard experience.
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