If being in ketosis is a priority, something like Stronglifts or Starting Strength probably wouldn't go very well. Personally, I wouldn't want to be doing multiple sets of heavy squats without some fruit or sweet potatoes in my belly . Mark's routine or a similar bodyweight program would be the better choice. You might be able to do a barbell program with slower weight increases. Do some research on 5/3/1.
In matters of style, swim with the current. In matters of principle, stand like a rock.
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