Inflation is not magical punitive value. When you have inflation your peasants pay taxes mostly in say November, it reaches your court in let say March (collecting taxes is complicated process). There will be no more money since next March. As banking technique, infrastructure and method of transport progress situation changed, which is not fully reflected in game, this period of times will shrunk (e.g. more taxes not connected with agriculture, tax collecting system is so efficient, that we can transfer money to court more often). If there is inflation after paying taxes, king pay more money for same things in comparison to situation, where there is no inflation. Also inflation often leads to bankrupt of your merchants and artisans, which should affect your tax, production and (especially) trade income.
One thing may use some change - inflation should not be cumulative as it is now. Yes, if something caused inflation at one moment (giant transport of gold, spoils of war, loans), prices rise for years, but not forever even if court didn't react. If you earn 1 point of inflation in 1444, it should fade away in 1454 or something like that. You pay ADM points to calm dawn your angry citizen and not let inflation destroy your entire economy.
Sources of inflation:
gold - that is fine,
spoils of war - it may have smaller effect, as it does not influence currency itself. In theory it could effect in deflation if it consist from goods only (not likely)
loans - represent huge amounts of cash appear in economy forcing shift in prices, this loans comes from family treasures, which normally are waiting for other times, invested in international trade or used to buy exotic goods. Should disappear if you paid all your debts. one more problem would be interest rate, which was much higher IRL. It was always so high, that it compensate lender for said inflation.