I agree with everyone who said the battery looked big, and is blocking the airway. Scooch it back away from the intake area, if at all possible.
Also, since you have to remove the radiator to take it to the shop, I'd go ahead and do a quick flush myself, into a 5 gallon bucket and inspect.
Check that wtaer pump while you are at it, and don't forget to flush the engine too.
And, since you will be doing "exploratory" sugery anyway, the head gasket won't be any easier to get to, than when you remove the radiator, may want to change it "on suspicion". Any white smoke out the exhaust? That is a sure sign of headgasket trouble. Sometimes you can smell it.
My last thought, don't hate me for this....
I gotta wonder how much overheating this motor has seen? If it's been donig this for a while, the guy may have gotten rid of it once it finally got so bad he couldn't run it for very long. So, do a compression check too.