I've had a serious overheat coming off US Interstate 290 after blowing a water pump seal on a Chrysler 225 cu in slant six. Boiled out everything except the bottom of the block. Pulled over 2 miles from home. Wife picked me up and I went back after supper, restarted and drove home. After replacing water pump, I did your exact MMO plan and wound up keeping the car for 14 years of commuting: another 8 years! The valve guides on number 5 and 6 were worn and using some oil at 214,000 but that is not unusual for an in-line 6. Got my money's worth.
Happened again with a heater hose on a Chevy 305 V8. Same drill with getting it home, replaced the hose and then MMO/Oil for an abbreviated OCI (3,000 instead of usual 5,000). Kept that car for 10 years: another 5 after the overheat. It was a Caprice...kinda big for commuting and I had an retired father giving up his mint low miles Dodge Dynasty LX with a Mitsu 3.0L V6 (a very nice car), otherwise I would have kept the Caprice.
In both cases, the engines were close to seizing before repairing the cooling system and doing the MMO/Oil OCI. They ran normally with no loss of power or gas mileage after about a week of driving.
I was lucky...I could see the steam because it was fair weather. You may need to go up one grade of oil if there is a little scoring causing some blow-by, but from 5w30 to 10W-40 is no big deal. A bottle of blue STP Oil treatment will do that if it is needed after the oil is put in. Bet you were real happy that you kept the oil topped off...always a good thing. Good Luck!