For such trips, continuous residence is presumed broken unless the applicant can prove otherwise. "Cancelled" is not correct terminology.
The OP stated the IO was asking for a marriage certificate. When asked why the need of a marriage certificate the IO replied that he was trying to help since it would be easier by marriage (ie 3 year rule).
If the IO was trying to help out by allowing the OP to prove continuous ties for the 10.5 month trip as you claim he was, it wouldn't have made sense for the IO to say it's easier to get it by marriage.
From the OP's description, the IO was helping out by changing the OP over to 3 year rule, not by allowing OP to prove continuous residency for the 10.5 month trip as you claim.
OP is married to a USC for than three years. I asumed she was aware of she could have filed under the three years rule. She purposefully, pursued on her own under the five years rule. I assumed that under the three year's, she can not overcome the evidence required. It is true that she mentioned that the officer suggested it might be easier for her to switch to the three years rule. The OP is not receptive to this idea. Therefore, the OP is not seeking advice on whether to switch or not;if she the OP had faith that she could win her citizenship through her husband, she wouldn't have waited come here, not should she have waited for this long...she could simple ask the officer to help her switch and provided the marriage certificate...
Now the OP does not want to go down the three year rule....she will have to over come the distruption in her continious residence requirement. Also because she travelled a lot, and she got her greencard through marriage, the officer might suspect that the lady was in the deal for the greencard and wants to revisit the marriage. Even if is it possible to switch, I don't think OP will switch. She should stick to her five year rule. In this case, even if her application for citizenship is denied, her greencard will remain intack. If she switches to three years rule, they might demand more evidence, once she can not provide, they might unravel the whole deal...marriage.....So that is the reason I didn't follow the marriage certificate deal;;;