You sound to be in a pretty similar boat to me. At the end of March I bought a 2017 Leaf SV which shocked everyone who knows me but the number really do make sense. I am coming from a heavily modified BMW 135i and love a small RWD car that I can throw around. I have worked as a driving skills coach and simply love cars and going fast. However, I came to realize that the 135i I had modified was not the best decision for a 50 mile daily commute in traffic and I decided I needed a commuter car that was comfortable, quite, efficient, and preferably cheap. The Leaf actually seems to be an excellent choice based off this criteria and I am feeling good about the decision so far. With the incentives and tax credits, I was able to get the car for exactly $13,505 out the door, including all sales tax, delivery, tax credits, etc. If I keep the car for five years and am able to sell the Leaf for above $7,500 the the car will pay for itself in fuel savings for me. With a similar commute, I assume the numbers will work well for you as well.
The Leaf is not going to be as fun to drive as the Caymen, People make a big deal about the torque in the electric cars but the Leaf is a slow car no mater what some people will claim. It does take over 10 seconds to get from 0-60. The truth is that most people never floor the gas pedal of their cars as they drive in traffic and never feel how fast their cars really are. People simply don't need or use the car's maximum amount of power. I have personally done a 3.9 second 0-60mph in my 135i at a track but do you know what that looks like on the streets? It looks like I am going to hurt someone or get arrested. I never flog my 135i unless I am on a track or I am confident nobody else is around, which is rare and never really needed. Based off your choice of the Cayman, I assume you enjoy going around the turns quickly as opposed to going in a straight line. This is why I think you wanting stickier tires is a good idea and I would also recommend it if you have the range. It does sound like your range would decrease with the sticky tires, however, your tires are your only connection to the road. They make a huge difference and I am confident that with better tires you could still have plenty of fun in a Leaf on the roads. In my simple mind, low rolling resistance also means less traction to turn or stop your car. Again, most people don't drive at the limits of their cars, so a little extra range makes sense for them. Based off your prior selection of the Cayman, I am guessing you would like the Leaf's limits to be higher and better rubber would be the best way to raise those limits.
Good luck with your decision. I personally think that I made a good decision to improve 99% of the driving I really do in a city with the Leaf instead of a sports car. Is driving a Leaf as fun as a sports car? No, but neitheris going to work and yet I still go to work most of the time. I herd Jay Leno say before that he thought electric cars will be similar to how internal combustion engines replaced horses for daily transportation. Soon enough, everyone will drive electric cars to and from work and some people will also own an ICE car for recreation like some people today still have horses.