I LOVE making up worlds!  I've never heard it called conworlding before, though, I've always called it worldbuilding.  It's my favorite part of making up a story.  I usually spend a lot more time and effort on developing a world's geography and culture than on writing the actually story!
When I get home I'll post some of my worldbuilding stuff, like the huge world map I drew and hung on my wall....

ATM: I made up a world with careful drivers, honest politicians, and no compound interest.  The way it works is beautiful.  This world is in the system of Arcturis, light-years from Earth  It functions very well, mind you, as a kind of Utopia.  I made up a little sphere to represent the globe of this world, and drove it around with me.  

Unfortunately, a BMW rammed me from behind, strangely casting the globe out of the window.  The BMW was driven by a local City Council man, who then got the police to cite me for having a world in my possession without a license.  I told them that I created the world out of my mind, and that I therefore did not actually need a license to carry something that weighed exponentially less than an actual globe would have weighed.

However, the city councilman got a statistician to calculate the standard deviation of the weights of a whole bunch of worlds, including micro-planets and very, very small meteorides that orbit stars.  They decided that I COULD have a world in my possession.  The accident was therefore my fault, and yet the fee was waved if I simply decided to get planet insurance.

Now, I could have fought the whole thing by claiming that Pluto is no longer a planet.  But, then again, I disagreed with the change, so I would have felt like a hypocrite.  I therefore agreed to the insurance for a perfect world of careful drivers and honest politicians, figuring that I atleast did not owe anything to the bank.  Now, this was a while ago, and I remember getting an offer of a low interest loan to then possess a whole two other worlds of careful drivers, honest politicians, and no compound interest.  The loan was issued by J.P. Morgan...and sadly you know the story.  I decided to leave my two perfect worlds behind rather than pay the compounding interest as the housing crisis ensued.  My perfect worlds are now property of our local Real Estate Agent.  She is a very nice lady, by the way.  I think she is single...

I decided to stick with Earth.  Yes, the drivers are rude.  The politicians are corrupt.  And, yes, there is economic exploitation.  However, living on Earth does not require me to get a compound unsubsidized loan simply to paper machete a globe together.  And, to be fair, at least my imagination is free...Unless bought with an unsubsidized loan!

All the best.

I do this a lot! I even got to take a class called Imaginary Lands.

Wow, where did you take it?