SLH, from what you describe you will easily cope! The only really painful thing you might experience is shoulder pain for the first 24hours. I only had it once (out of the three laps) and just drank loads and loads of peppermint tea.
I agree with missmarls that you should just see the time after the op as a week to be lazy and hang out on the sofa.
In answer to your question comparing it to af, my answer is probably very different to yours as I have relatively light periods!
The way I felt was as if I'd really seriously overdone it on a workout. As long as I was lounging comfortably I was ok but I struggled getting up from the floor or out of the bath. I was also more tired and weak feeling than normal but staying at home that's not a problem.
I wouldn't worry about the stitches. I think that most of the time they use dissolving stitches and on my last lap they just glued my belly button incision back together
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In any case, the holes are small so there isn't much to stitch up.