The reason I have started the control line aviation journey is because of the availability of electric systems and the possibility of being able to fly alone (i.e. no need to have an assistant to hold the model while one walks to the center of the circle). Model fuel gives me adverse reactions and this is why I have flown RC unpowered sailplanes for 15 years (I started to fly RC in the year 2000, and RC unpowered sailplanes is virtually what I have flown in my entire life). When you are able to make your plane climb to more than 1500 feet after throwng it into the air via a discus launch, and by being able to find thermals and ride them, you will be hooked for life.
Where I am (Los Angeles County), there are only 2 places that I am aware of where you can legally fly fuel powered control line planes: Whittier Narrows in South El Monte, and the Apollo XI model airplane field in the San Fernando Valley. As for RC fuel powered planes, you can also fly at one private club that is located near the Santa Fe Dam in Irwindale, where the 605 and 210 freeways intersect.
Electric control line opens more possibilities where one can fly. Although there are many cities in the county that forbid any kind of model airplane flying, there are places like the Rose Bowl park in Pasadena (Lot H parking lot) that are havens for electric flight. There is a very large paved parking lot to the left of Lot H that is ideal for flying electric control line (as long as one does not fly fuel planes, you are welcome to fly your electrics). And if you find a rather large area that is hidden from street traffic (and I am aware of some such places), you could also fly because the plane is so quiet (at least mine) that people don't even notice.
At present, I fly an electric Flite Streak Trainer. At the Whittier Narrows field, I have shown it to some of the RC pilots and one of them told me that he has not seen an electric control line plane before.
I have ordered a Magician stunt plane to begin to learn the concepts of aerobatic flight. Like the Flite Streak Trainer, this one has also been ordered with an electric setup.
If the image shows, you will see one of many examples of restrictions put on models in schools, parks, etc.