Hi i can give you a little from my own experience, first of all iam greedy i love carbs, but what i have noticed i i used to get more ketones when my sugars was a normal to slightly high range when i was eating less carbs on the levimir and rapid. For example i can be around 10 11 mmol and have ketones, iam back onto my 2 injections a day and suits me fine. I can have sugars in the 20s which isnt good but never really get any ketones. Also when i was ill once my sugars was around 13 mmol i had ketones i kept giving myself couple units every hour or so, all that did was make me worse my sugars never came down, but realised i had nothing to eat as had bad stomach bug, so i sort of worked out if ya not got much food in ya body and you have insulin theres nothing for the insulin to work on hence thats what causes the ketones, i personally cannot do no or low carbs it stables me out. If i was in your position and had ketones and high sugars i would eat something slow carb and give a little extra rapid than you would normally.. but thats just me.