Instead of switching sides for each batter, would it be more efficient to simply pitch from the right side (his stronger side) in a start and then be available to pitch LH relief the rest of the weekend?
I haven't thought this through, so someone more knowledgeable weigh in and let me know why that's a bad idea.
I think you lose the primary advantage of a BHP when you don’t optimize the match up with every single hitter you face. And also, pitching is not just tiring for your arm, its a full body exercise. Very difficult to throw a starter’s workload on a Friday and then come back on 1-2 days rest on Saturday or Sunday, even if its with the opposite arm.
But, I also don’t think its impossible for him to start on Friday as a BHP, go 7 innings or so innings facing maybe 70% righties, then come back again on Sunday as a LHP reliever if needed. You want him to throw from both sides initially, though, if you can.