Have you tested overnight? Sometimes I go to bed with a decent number and then due to delayed release (e.g. more fat in my dinner) or too little insulin to cover the dinner I get a spike and it stays high over night, which needs me to deal with the insulin alter on. Otherwise if it's a slow rise overnight then it might be that you need more basal. You also might need more basal when your period starts, something to consider ? Hope you manage to sort it out! I've been struggling with morning highs after late night lows so I know how annoying it can be