Hi,
If you take the spark plug out from the cylinder that broke the valve, it may well be wet with petrol?
Usually when an engine "drops a valve" it does quite a bit of damage to the piston and/or cylinder as there isn't any room for the bit to go, so it makes room for itself.
You may well be lucky, if you dry off the spark plug and replace it may well fire up ok? If not get a compression test done on that cylinder (to find a leak into the oil sump, because of the damage) and or strip down and visually check for damage.
Did the valve drop as soon as you started the engine after the rings were replaced?
The new valve may not have made a good seal in the cylinder head?
Another option would be to look around for a replacement engine from a local breaker unless you can do the work on your old engine, yourself.
Hope this helps