96 jimmy overheating

The fan relay is the most common failure point on these
Car overheats Chrysler Vehicles Ricks Free Auto Repair Advice

flushing a cooling system is the same method as any other motor

do it without the thermostat fitted
or water pump opening

sacrifice an old radiator hose to adapt a garden hose fitting
for radiator flush

air in system fix
your thermostat housing has no air bleed valve
no top radiator cap

old school way
heater on full
run motor till thermostats fully open
burp radiator hoses
wait till water is running up into over flow bottle without bubble
replace cap
turn off heater
correct level in over flow bottle

why still over heating
you fitted everything i would have ... yet still overheat
possibles
leaking inlet manifold gaskets
hose clamps loose
cooling fans spinning too slow
thermostatic fan switch faulty
aluminum radiator is a big one
air ..fins bent or some water channels blocked

or possible head gasket leak

Try removing the thermostat and reverse flushing the motor, Actually try flushing in both directions, this will tell you if you have a circulation problem but 1 thing you should know is that the water goes in the water pump and out the thermostat, try running it without the thermostat and check your water flow

It is more than likely your water pump. Can you run it in park with the radiator cap off. The cap on the radiator not the overflow tank. When the temp opens the thermostat you should see flow if the pump is good no flow it is probably bad. If you don't see flow check the upper hose for temp and the lower hose. If the upper line is barely warm and the lower hose is significantly hotter, it is either water pump or thermostat, but since you replaced the thermostat I would be back to water pump. BTW you should use either a contact thermometer or an infrared to check hoses, although it was done by hand in the old days.

It could be the thermostat not opening and closing as it should. Or it could be a bad overflow/radiator cap. If the cap starts to go bad, it won't hold pressure and this will cause overheating. Good Luck. There are other major issues possible, but hopefully it's not. Start the engine cold and as the engine warms you should feel the thermostat open and water flowing as you hold the radiator hose, just be careful around moving fans.

What about the coolant temperature sensor or water pump?

Remove and raise upper hose at thermostat end and remove lower rad hose.
Fill rad with a hose and watch for flow from bottom rad hose and/ or bottom rad hose connecton.......water should fall though rad easily.
Honda rads are cheap.....any restriction....replace rad.

Remove thermostat....fill thermostat housing with hose and watch for water flow at bottom rad hose.
Flush good.

Remove heater hoses.......flush back and forth until a good flow is present "With heater control set to hot" if no or poor flow....replace heater core.

Stop leak can plug everything.

Also.......not likely causing over heating....but ....at your mileage,if you do not know if the timing belt has been changed.....CHANGE IT NOW!
Water pump is optional at this mileage.

head gasket

Best way is to buy a flush kit. It is an adaptor that you put in your heater hose and can hook up a garden hose to. You cut the hose and put this device permanently in the line. Remove the thermostat, don't put the new gasket in there yet just put the outlet pipe back on and bolt it down. Run the car when cold with your hose running for about 10 minutes with the radiator drain valve open on the bottom of your radiator and the cap loose, water should come out of the drain valve and the radiator cap. This will flush your engine adequately, why waste money on distilled water, save that for topping off your battery. Turn off your engine continue to allow water from your hose to flow as long as you are seeing any thing other than clear water flow until it flows clear. Turn off the hose, put the cap on the flush port you installed. the port stays under your hood and allows you to flush your engine as needed. Let the water drain through the drain valve. Put in a new thermostat, with a gasket this time. Refill with water and antifreeze as directed in your manual. You should be good to go.

remove coolant.remove thermostat remove bottom radiator hose to water pump.put a empty container under the radiator.take a water hose put it where thermostat goes flush out the rust in block.watch the water as it come out the water pump .if stream water is small keep flushing until you get a study sream of clear water. also flush out radiator. lower water pressure dont flush radiator it with high water pressure you could burst it. make clean the over flow jug .make sure it not stopped up.put in a new thermostat and radiator pressure cap. fill radiator with half antifreeze and half water.bleed the coolant system.