Not sure how the oil line routing of various TC's are, but here's a simple trick for EVO's that I use every other oil/filter change or so:
1. Drain out oil tank, and refill with fresh oil.
2. Remove oil filter, place an oil drain tray under (filter is under the tranny on mine)
3. Start the engine
4. Let it pump oil out of the filter housing until fresh oil is coming out.
5. New pre-filled filter in, then refill oil tank
That's it for a complete oil change
A couple of notes, though:
1. The EVO has the filter on the RETURN side - TC?
2. I watch the oil tank level carefully while engine is running