Bumps in road make engine sputter and almost die

When was the last time that the carburetor was stripped and cleaned? Also have you checked the fuel filter? Finally, the problem seems to come and go as the engine is run (and it gets hot) check that the fuel line and any electrical cables are well away from the hot engine as far as is possible.

You have a bad connection that when you ran over the bumps it vibrated the connection loose, Check all plugs and connections in engine compartment and on the fire wall. It might not be a bad idea to try to start unit after each one you check so you know where the problem is and pursue it further.

check the wire to fuel pump

Sounds like a half shaft. Reach around behind each wheel and see if there is play in the shaft that leads from the wheel to the transmission. There should be no play. Other possibility is a bearing hub. Jack up car, grab the tire at 9 and 3 o'clock. Shake wheel if there is movement not from the tie rod then it is the bearing hub.

The PO 316 is still misfires om first 1000 revolutions
so the shop did a poor job for you on resolveing the
cylinder misfires

Try a diffferent shop

Have to clean the MAF Sensor & replace upstream
oxygen sensors if over 100,000 miles

Need the correct oem spark spark plugs/any brand

No reason the gas filter should be clogged unless it was in
the car for 10 years

Fuel pressure should be checked

Need to check for cylinder misfires on a road test of 20
miles or more with professional software in Mode#06

need a little more detail here.
Rumble from front? rear? left or right side?
And shake in the steering wheel?
How big a bump and how fast were you going?
Was the rumble instant after the bump?
Is it constantly making the noise or now and again?

Check the fuel pressure

You'll have to figureout if it is a fuel or ignition problem.Is the check enginelight on ?

its a dodge, you'll have a lot of engine problems, trust me

That noise sounds to me like a Ball Joint problem. I would check to see if you have fittings to grease the front suspention.

Good luck, Allen