There are only two causes of broken valve springs...
1. CHEAP SPRINGS.
'Economy' springs are inferior in every way.
They will be too soft or too hard, they will be of larger diameter wire to keep up seat pressure, but larger wire will bind. Always use quality springs from a reputable manufacturer.
2. WRONG INSTALL HEIGHT/ WRONG SPRING FOR APPLICATION.
If you use springs that are too tall, they will bind and break. This is true with big cams binding springs, too short of an install height.
Higher ratio rocker arms can cause coil binding, but only if there is a problem to start with.
Always have valve train work done by a KNOWLEDGEABLE PROFESSIONAL...
Check for total install height, total lift, coil bind, seat pressure, and proper locks & spring retainers for the springs you are using.
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IF IT'S NOT HAMMERING LIKE CRAZY...
Here is a tip, and it only works once in every hundred times a valve gets dropped...
(but I'm rooting for you!!)
Take one of those pencil type magnets, (like the kind that have a scribe or punch at one end and a magnet at the other) and go fishing down the valve guide hole...
Once in a blue moon you will get lucky (I've got my fingers crossed for you!).
Also, you can crank the engine over BY HAND... If the valve stem appears at TDC for the cylinder, YOU WIN!
If you DO have a hammer or knock...
Take out the spark plug and use a 'pen light'... Most of the time if a valve has been flattened or mangled, you will be able to see it (or part of it) through the plug hole when you bring the piston up by HAND CRANKING the engine.
This won't change anything, but it will give you a better idea of what you are up against.