I then closed the throttle, raised the flaps while lowering the nose to increase speed to 80 mph and rolled into a 45 degree banked turn.
I42, I've not flown the C182 in a long time, but I'd suggest that keeping an intermediate flap setting is a good thing for a turn back. While you don't want any addition high-drag, the increased stall protection of a 'take-off' flap setting is rarely going to worsen the situation.