There seem to be two groups of people here:
The first group of people is not offended by jokes, including jokes influenced by sexuality.
The second group of people is offended by jokes, especially jokes influenced by sexuality. A subset of this group is offended by such jokes when spoken by members of a certain gender. Of course, this is discriminatory so we will ignore that aspect and categorize them as offended in general.
I think there is a desire to be respectful of the second group while avoiding strict censorship of the [majority] first group.
I suggest a clearly visible sign that someone is offended by jokes influenced by sexuality (or, perhaps broadening this to include all jokes?). Perhaps a yellow hat or something like that. People within earshot of such people should refrain from telling such jokes. People wearing the sensitivity marker who hear things offensive to them can raise the issue to convention staff who will attempt to deal with the issue. People wearing the "sensitivity" marker who make such jokes will permanently lose the right to wear them.
People not wearing the sensitivity marker who hear something offensive to them should either (A) indicate to the offensive person directly that their conduct is perhaps inappropriate, or (B) move away from the offensive person so that they are no longer offended. If (A) is ineffective and (B) is ineffective or impossible the convention staff can be notified and they may or may not choose to act; anyone not wearing a sensitivity marker who is upset is free to go put on a sensitivity marker.
People may wish to have activities which may include things that people find offensive, they are free to ban sensitivity markers. Additionally, "sensitivity-marker free zones" or "automatic sensitivity marker" zones could be created. Or even entire conventions where no sensitivity markers are allowed -- one would expect a crude joke convention to probably not cater to overly sensitive people.
Of course, in an ideal world, everyone would be adult enough to know to watch their language a little bit, and to not overreact a lot. But given that certain people are especially sensitive for various reasons, we should find a way to allow them to coexist with the rest of society.