Without being more definitive in your mission (what you really need 90% of the time) every answer so far could be the right one.... or the wrong one. Accuracy...
If the picture of camping is JC for example, the A36 Bo would be my choice as well. If your ideas of camping is a boulder strewn river bank... not so much.
Without accuracy in defining your mission, you end up with comments like "a good 182 will go anywhere a 180 will" or "no one NEEDS bush wheels", both which
may actually be true in some missions, and both could most certainly be as far from true as you could get in other missions.
If you simply can't get it down to an identifiable mission fit for 90% of what you want, it just means one airplane alone is not going to fit the bill. In that case you
may still not be out of luck. There are plenty of options that would still fit the buy in budget. For example, downsizing from the 185 to a good '53-'56 Pponk'd C180 wouldn't be giving much up in the 'utility' plane, but would leave you enough change to pick up a bush rat cub to knock around in.
If your family is of four and you all camp together, good for you! Soon enough one will be off to camp, or away with friends, gone to school somewhere else, or in europe with mom. This day is going to be here before you can plan for it (or so it will seem). Since you already have the airplane that will fit the requirements of your first post, perhaps you should be looking at what airplane will put the biggest smile on your face without needing to meet that requirement. Soon enough you will find that getting all four seats filled at the same time is going to be a rare event
Lastly, if you polled any or all of my 6 children which airplane they have the most fun tooling around in, they would all agree it would be the cub, sometimes a little 'quality time' with pops the magic carpet ride trumps having the whole gang around
Take care, Rob