I'd quite like to try solo mining Bitcoin. I know that I have about as much chance of finding a block, as I have of winning the lottery, but with free electricity in some of the locations I use, it seems to be worth it for the experience and knowledge. I was given an old ASIC miner some time ago, but I haven't had a chance to test it, as I need to build a power supply for it.
Running a single ASIC would not be profitable.
If you are doing this just for trying out and seeing if you can end up mining a block then it would be time consuming and frustrating. If you want to set up a mining rig, which you would need if you want to mine taking advantage of the free electricity, you would have to invest money in a large number of ASICs, PSUs, Cooling equipment and a building to store them in. Internet connectivity is not an issue here.
As far as experience goes, many people who had wont a single mining device on some random giveaways (there used to be such a time), had actually sold them off on some other site. In this current market using a single ASIC is no longer worth it.