I think it comes down to one of two approaches:

1) what do you think has less of a chance of a repeat - the offer or the woman? Take what is the rarer of the two and hope that you will get a reasonable repeat of whatever you will end up giving up

2) flip of a coin, if all else fails. You know why? Sometimes we do not know what we want in our hearts. By your REACTION to the flip of a coin you will be able to actually get a read of your innermost desires.