I replaced the burn off relay, and the maf. I'm not getting a check engine light, but if I unplug the maf burn off relay the car runs smoother. However when I plug it in, it begins running rough and rich. Any help would be appreciated.

 

What would help us is to know what mods you've done to your car, engine, intake, internal, fuel, etc.. Running smoother could mean alot of things.

 

Engine is a 305, and by smoother I mean it's not coughing out black smoke(running rich) and stuttering when idleing. But it only runs rich and stutters with the maf burnoff relay plugged in.

 

Mods done to your car?

 

I bought the car a few months ago so far from the previous owners, Smog pump has been removed and cat too, the fuel lines in the back by the tank were replaced with high pressure hoses, i've been told it's been sitting in a garage for a while, and the wiring harness looks like someone's been in there.

 

Chances are the cat was removed because it was clogged or damaged from running too rich (black smoke you were talking about). Without a cat the smog pump is useless so that's why that is gone.. I don't understand what you mean by high pressure hoses.. Either way you have to fix the rich problem and it seems to be the MAF causing this problem.

You said that you replaced the MAF - What did the car do before you replaced the MAF? For the most part it does not need to be replaced unless it's damaged for some reason.

 

The car idled higher without the maf replaced but it didn't run rich.

 

Doesn't the burn off relay only work before the engine is running to superheat the element inside of it then stops working and the MAF power relay takes over?

 

The MAF burn off circuit cycles for a few second after the ignition is turned off. The MAF measures air flow by providing voltage to the MAF sensor, heat, then as the air passes over the sensor it cools it and changes the voltage. The ECM converts this voltage to grams per second of air flow. If the burn off circuit is energized this would definitely through off this calculation.
The burn off cycle super heats the MAF sensor to burn off any contaminates that might have accumulated during operation, but only for a few seconds after the ignition is turned off. You should be able to look inside the MAF and see the sensor wires glowing red hot if the circuit is energized.
Are you sure it's the burn off relay you are unplugging and not the MAF relay? It wouldn't be the first time a new MAF failed right out of the box. Start your car and unplug the connector at the MAF and see if you have the same results.

 

Sounds like you have covered it all.
If you look at your memcal and it says aum. It's known to have maf issues and can be updated
http://www.gmtips.com/3rd-degree/dox/tips/ecm/prom.htm