Hi MrsFogi,
Its not actually drilling in the usual sense; basically the surgeon pierces the surface of any cystic looking follicles on your ovaries with an electrical laser or needle. Its proper name is laparoscopic ovarian diathermy.
I would take your cons up on his offer to do the ovarian diathermy at the same time (having had diathermy done as well). Infact he will in all likelihood diathermise your scar tissue as well. It will do you no harm and will give cons more information about the current condition of your ovaries.
The problem with charting is that it is a very unreliable indicator of imminent ovulation and such charts can be by their very nature misleading. It is therefore not in any way adviseable to rely on such charts to confirm that ovulation is happening.
I am wondering about the "scar" you mention; I am wondering if this is an adhesion as a result of any former abdominal surgery you may have had (appendix removal etc).
Diathermy if done in good hands can be very effective indeed. However, it is not a permanent cure all for any underlying problems like for instance PCOS or endo. I have heard of some successes (I conceived two months post diathermy surgery and also know of others who have conceived after such surgery) and some failures of treatment. It can give a "window of opportunity" of up to one year post operation.
I wish you well with your forthcoming surgery and would advise you to talk to cons re any concerns you may have.
A tip: ensure that you have a firm date for follow up post op (you should be seen a week post op) and ensure you are fully conversant with the findings of the operation.
Good luck to you
Meerkats