Windoze 7 may not like the post box...............
From Mustang Steve's website....Early 289 heads had valves with short tips (about 1/16 to 1/8" above the keepers) that used non-rail type rocker arms. They had the shorter 289 style pushrods and rocker arms without the rails that capture the stem of the valve keeping the rocker arm from sliding off the side. The pushrods went through holes in the heads that fit up close to the pushrods, keeping the rocker from sliding off by holding the pushrod in line. Those type heads had adjustable, press-in studs. Later heads used rail type rockers. The hole in the heads that the pushrods (longer 302 pushrods) go through is round, the valve stems protrude about 1/4" above the keepers and they were non-adjustable.
Isn't it best to check if the camshaft is synchronized with the crankshaft?Maybe it is 360° wrong ?! my opinion.
4 stroke engine , 360° is one turn ,
Those are the wrong retainers. They are compressing the valve springs too much and you are breaking rockers because you are running into coil bind. It's amazing that you haven't broken other rockers also. I would check the rest of them for cracks. Could be when those heads were assembled that valve spring was shimmed just a little more because of a variance in the depth of that valve seat grind. If it was the rocker slots binding on the stud then the rocker would break between the pushrod and the rocker slot instead of between the rocker slot and the valve like yours did. Your 289 heads guide the rocker by using the pushrod slot in the head. They are effectively guide plates. You should not need shoulder rockers, although if they don't hit the retainers they won't hurt anything, still it's not the right way to do it. Those heads have adjustable valves instead of positive stop "stepped" studs. If someone is getting confused they may crank down the rocker nuts thinking they are positive stop studs and run the valves into the pistons. If this guy is going to bring you a good set of heads I'd take them if I were you. Be forewarned about the expertise of whoever put together the heads you have now.....
With permission of your builder, I would install another rocker on that valve and rotate the motor BY HAND and watch the valve spring. Also feel for resistance when you get close to max lift. You definitely have spring binding issues and its either too long of pushrods, wrong spring type, too thick of retainers, or a combination of those that may be unique to that valve (wrong spring at that valve). New heads will eliminate the valves and springs, but won't eliminate the possibility of too long of pushrods or a faulty camshaft that has too much lift at that particular valve. If the new heads result in that same rocker breaking, I'd look at the pushrods or put a dial indicator on the rocker and measure the lift to compare to another valve.The rocker broke exactly how I would expect it to, the point of maximum stress near the fulcrum.
As stated, you should always "chase" the threads with a bottom tap. This should have really been done when the block was bare as part of the cleaning and freshening. As it is now you need to be very careful not to have any fresh metal particles cut lose by the tap find there way into the engine.This is done to make sure the torque readings are accurate when installing the head. A burr along a thread can give you a higher torque reading without actually applying the same level of force between the head/gasket/ and block surfaces. Oiling the head bolts also aids in accurate results.New head bolts are always a better idea. Bolts stretch as they are tightened. Older bolts don't always recover or stretch the same leading again to inaccurate torque results.
302 heads have bigger chambers than 289 heads, which will lower your compression from 1 to 2 points.