wetdog What size lines are you running to cooler?? Now would be a good time to increase the size to #12's if you are not there. Also does your motor have
oil modifications to it for the mains and rods? HVHP oilpump?
As far as others have said, you will never remove all the crap in the cooler without pulling it apart.
Oil filter will catch anything bigger that 20 mircos unless it's ripped inside.
Oil lines are not worth the chance either. I have gone through the same problem with rebuild trannies. People don't want new lines or radiators after a trans breaks , burnt clutches out or just blows up. This has caused repeat repairs.
Other side note while you have the system apart, add an accusump in a 2 or 3 quart size as a preluber. This way you can preoil the motor before starting it. Also works great if you track the car and pull high "G" turns, it's a cheap drysump. Cost couple of hundred and can save thousands.
Just a thought Rick L. Ps IMO your motor was hurt before you hit 3rd gear. A 7,000 rpm shouldn't have blow the motor apart unless rod bearings, bolts or poor oiling where happening. If you went with bent valves and pushrods and then blown out the bottom end, that would work. Problem is #7 and #8 rods are the last to get oil pressure when starting a motor. Have you thought about adding an oil suppliment like lucas. It sticks to the metal parts and stops dry startups. Another thought.