Fortunately, we do valuations every five years, rather than CA which just goes by last purchase price. So while my rate has gone up from $18.34 per $1000 assessed value to $19.99 now, it won't kill me when I'm reassessed because I'm pretty sure I'm not going to have a huge jump in property value.
In fact, if it goes up at all, I'll challenge it. I think asking the city to buy my house for the valuation they put on it (if excessive) is a pretty good first step.