It's hard to predict tax increases beyond high cost areas are likely to stay that way relative to other areas. There are items you can research which will give you a better understanding of what drives costs, but I don't know how much that will impact your investment decision.
Check your property assessment. This is probably the best control you have over your tax payment. You can appeal your assessed value to lower your overall tax.
You have 2 or 3 taxes to consider: municipal/township (if you have one), county, school. They are assessed only within their boundaries (there can be more than 1 school district or municipality in a county). The tax increase will be proportionately the same across the tax district based on each property's millage, so if school tax increases 5%, every property's tax in the district increases 5%.
Municipal drivers tend to be EMS services, infrastructure, trash/sewer, park & rec. Police and roads are usually non-negotiable and always increase in cost. Check to see if the municipality/county is growing and has a reserve for planning ahead for future expenses. For example, do they surprise their residents with a need for a new $10M XYZ or did they plan for it and collected extra taxes as the need approached? That will help avoid surprise increases, but you are prepaying for it (choose your complaint).
The county doesn't do a lot in my area relative to municipality and school taxes. Their taxes tend to stay the same, but they occasionally want to buy land for open space. Check their future plans to see what they have in mind and if they have a funding plan. They probably have a 10 year plan, but not funding in place for it.
School taxes are usually your top cost and can jump with building new schools. All other costs are likely incremental, but the increment sizes will vary, such as with a new teacher contract. Check the condition of the schools to see if there is a lot of deferred maintenance and ask the school board about their financial challenges and plans. They will surely tell you there is never enough money to meet the need, they don't want to raise taxes, but have to in order to close a gap (or something like that).
One big catch to all of this the upcoming federal budget. Federal support is being cut dramatically as you see in the news, but services are not being cut. Governments will still need to pave the roads, pay police, etc. So, a federal cut to your area is very likely to be offset by a municipality, county, school and state increase to offset the lost funds. This will probably be a surprise to a lot of folks who think they are getting something for nothing.
After doing all of this research, I think you will probably end up with "I dunno..." since none of this is in a long term structured plan that will actually be executed as written on a reliable timeline (except the federal spending impact!).