Take a step back. For an engine fire to not go out requires both the high pressure and low pressure fuel valves to fail open. Hydraulic fluid will burn, but not well. So either you’re really unlucky (>10^9 probability) or this is your sole remaining engine (cowl door loss incident from a few years ago?).
The engine is nicely separated from the wing on the end of a pylon. Let it burn. Fly the aircraft. Should you screw up the turn back that you’ve never practiced you’re going to at least double your time in the air on the subsequent go around. What about traffic following you? Landing traffic? ATC? Tailwind? No ILS when you might really want one.
IMHO only... Keep flaps one. If you’re used to it, enter a visual circuit. Otherwise climb to 2000 or 3000 ft and fly a sensible approach. You’ll still be on the ground within 10 minutes.