My heater isn't blowing hot air, and after bringing the jeep up to operating temp neither of my heater hoses are hot. Does this sound like a blocked heater core? I'm going to try and flush it this afternoon, but I also don't hear the blend door opening and closing when I adjust the temp control.Warm up the vehicle and check the hoses by hand.
Before the thermostat opens there should be coolant flow through the heater hoses. As the temp gets up to normal that supply hose from the engine should be too hot to hold tight. Maybe hold loosely. The return hose from the heater (with the fan blowing strong) should be somewhat cooler and comfortable to hold. If it is not very warm coming out, but hot going in, then you have restricted flow in the heater.
You need to be somewhat careful if back flushing the heater with a hose, as there is a lot more pressure from a garden hose if the system is plugged.
If there is restricted flow there can be a couple reasons. There can be a restriction in the hoses. That would usually be where the water enters and a flap of the inside of the hose as come loose and is blocking.
If I had a restricted core, I would get some solvent for flushing radiators. Remove both heater hoses at the engine. Pour the solvent into the one hose and keep the other one high. You want both hoses above the heater. Once you have filled them, let them sit for a period. Then flush and see how much flow you have.
Also, check and make sure you got a good thermostat. When it opens the top heater hose should heat up to where you cannot hold it. If not, then it is opening too soon.