I assume by "stag" party that you're in the UK.
Usually, stag parties are organised by your best man who should ideally discuss any high-level plans with you (i.e. what activity you want to do).
Discuss things with your best man and negotiate something that you want to do that also will appeal to the male side of the wedding guests.
This is how things normally happen.
Obviously, this depends on your choice of best man and it probably makes sense to discuss the general scope of your stag event as part of the whole "I'd like you to be my best man" conversation. If he's not willing to tone down the stag event, then choose a different best man.