Yeah, a 2 day split with one for bench and the other for deadlift and squat, and then a 3rd day for OHP and conditioning...... that is basically what got me my first 4 pro totals.
I might have been misunderstood..... females definitely DO need to do heavy singles. Or, at least singles above 85%..... it's really common for women to be able to double a weight but get crushed with 10lbs more. Learning to stay tight under a max load IS important.... but you can push the volume and pace of her auxiliary work more than you would with a guy.
Enasni the glute can function to kick your leg back ( like skateboarding) or outward ( like rollerblading)...... basically you're trying to build hip stability. Think things like single leg deadlifts and squats with one foot behind you on a bench. Put a band around your knees and do single leg glute bridges while trying to push your knees out against the band...... even things like wide-stance box squats and ultra wide sumo deadlifts can help.