My feeling is that since strongman has a greater skill component it should get more time devoted to it.
I would do
Mon. Snatch and high skill events
Tues . Pressing events
Thurs . Carrying events Farmers walks, Stones, etc..
Fri . Strength Training
Sat. Strongman Medley (conditioning)
I wouldn't do any accessory lifts that weren't for rehab/corrective.
I wouldn't directly train abs since strongman training is so stimulating the thoracic stabilizers.
"There's no such thing as shaping and toning. Only stronger and weaker." -Mark Rippetoe