To make things easy do a chemical test to find if theres exhaust fumes in your coolant.
If that test clears it means its not a BHG yet.
For your erratic idle, it could be coolant seeping through your HGs
Is there coolant in your oil?
Are your radiator hoses front upper/lower and rear swollen?
Replace your fan relay (sinces its bypassed you dont have to but humans are forgetful and you can blow your motor if you forget to turn the fans on)
Replace your thermostat with OEM and coolant temp sensor
If that test clears it means its not a BHG yet.
For your erratic idle, it could be coolant seeping through your HGs
Is there coolant in your oil?
Are your radiator hoses front upper/lower and rear swollen?
Replace your fan relay (sinces its bypassed you dont have to but humans are forgetful and you can blow your motor if you forget to turn the fans on)
Replace your thermostat with OEM and coolant temp sensor