As per adjusting the mixture screw out 1 and 1/2 turns...why not go ALL the way out to where it's blowing black smoke and running, then lean it out gradually until it runs at its best RPM? That's what I do on both push mowers and riders, weedeaters and anything else. Can't always go by the book, except for a ballpark figure/starting point. Surely couldn't be a sticking intake valve? Symptoms still sound like a timing problem eh? Since the key is OK, then it couldn't be that. I had a 5 HP old B&S start up fine, then got hot and started cutting out. Intermittent sticking intake valve was the culprit. Sounds like a mean Grimlin in there, mate! Concerning the coil, it could be intermittent as well. Try putting a known good coil on it, see if it runs then. Good Luck! Dave