Peace offers with stability drop

[unmerged(1236)]

I was involved in a several wars in 1520 with Portugal and Milan in my alliance, and France and some other countries geneaally fighting the same enemies, Turkey, Sweden, Holstein, Naples and odds and end others. In any case, I conquered all of the naples provinces but they would not be annexed. Whatever. What was really annoying is that the citystate of Hesse Jap attacked the Spanish Netherlands, and blitzed taking Flanders, Artois, Hainault, and Holland. As I was gathering a counterstrike in Northern Spain and building a transport fleet, they offered a peace demanding Flanders, Artois and Holland plus 250 ducats. I was told that if I refused that I would suffer a -1 stability. I refused the peace and took the hit thinking that it was worth it to be able to counter attack. I was very wrong. In the next 6 months, Hesse offered me at least 9 peace offers, six of which caused stability drops. I went from +3 to -3 plus rebellions in a little over six months. Surely this is a little overkill. I can see a -1 stability drop every year, but to have Spain literally torn apart by rebellion because the peasentry cannot stand the thought of Hesse not getting a cheap peace treaty is ridiculous. Especially since I was in the midst of a totally seperate war with the much larger powers of Turkey and Sweden. I landed in Holland, destroyed the Hesse armies and was besieging all the lost cities. Hesse still offered me a peace treaty that caused a stability drop if I refused it. Is there any way to change this sort of behavior? I can't figure out how Hesse was getting enough diplomats to offer me so many peace offers.