LA 360 Internal Coolant Leak

Brand new carb as well and had a neighbor who races stock cars and owned a couple 360's in the recent past help adjust everything. Funny thing is when we adjusted the idle mixture screws, it really didn't seem to do much of anything either which way.
The carburetor needs further tuning for sure.

Also worthy of note. The four corner studs Mike referred to are almost impossible to get the leaks completely stopped with bolts. People often think they've done it, but most times they still seep very slowly, even when sealant is used. The reason is because the correct studs have a bevel that when the studs are tightened into the head mates against a female bevel in the stud hole in the head and effectively seals the stud. That's why it's so difficult to get a bolt to seal there because of that female bevel in the head. Although it does sound from your symptoms that you might have a leak into the combustion chambers somehow.