I respectfully disagree with the prior posters. Simple slow charging should be adequate for your needs.
I leased an 13 SL about 1 month ago. It is our second car, with a minivan as the primary for long distance commutes. So the Leaf is my car for with a very similar range situation as yours - as little as 5-10 miles some days, 25-40 miles typical, up to 50-60 once or twice a week. I had planned on installing a Level 2 charger in my garage, but haven't gotten around to picking one up (I have the wiring already so only cost of charger and install), and at this point may never.
Given your driving situation, even in a high use day, like mine, 12 hours of charging overnight usually gets me back to full or almost full charge. Even back to back high usage days are possible even though they don't happen that often. I gauge roughly 5 miles per hour of trickle charge, so from a full charge, even 3 days of 60 miles driving, back to back to back, with only 8 hours of sleep time charging, will still leave you with a comfortable buffer regardless of weather and driving patterns. I've been getting over 80 miles per charge in NJ with average driving - basically driving as if it were a regular car.
There are plenty of advantages to having the level 2 charger obviously, but I've always felt 8-10 hours overnight pretty much gives me all the power I would need during the course of a typical week. This fits in with my and most people's sleep patterns so given even your more aggressive 60 mile days, you should be fine. I recognize that all EVs require a certain degree of life style planning on when to charge, what you will need the next day, etc., and that trickle vs L2 really impacts this planning. So if you are really looking for flexibility in charging options and driving patters, an EV will restrict you to begin with, and no L2 will exponentially complicate this but given your pattern - not to a point where I wouldn't recommend this really cool car.
In my experience, I don't even charge every night especially on lighter usage days.
Couple this with the possible benefits of less frequent charging and trickle vs. level 2 charging that some argue may be better for long term battery life, not sure about that one and it doesn't apply to me as I have a short term lease, it may be worth dropping the Level 2 altogether.
One caveat, I have a free level 2 at work although it has taken me a month to get working Chargepoint card (only used once to date for an hour), so that will soon become my primary charging point - I don't think that changes this analysis however it may color my perception.
My bigger concern remains that 100 miles is a barrier that I just can't make without a charge. That is the roundtrip for NYC driving for me, and I am not sold on using a parking garage in NYC to charge (I have visions of trying to explain to a NYC parking attendant that my app says he can Level 2 charge my car...to a blank stare), and am skeptical about this mythical fast charger that has appeared in lower Manhattan (will it be available when I need it? will it work?). So putting my own neuroses aside, I think Level 2 obviously provides more flexibility for that late night dinner run in between 2 60 mile days. But as many others have pointed out, real life usage turns out to seldom have these circumstances occur. In one month, I have not yet run into any instance that I really regretted not having a Level 2 at home - but there is definitely the planning factor involved that at EV entails and that not have a Level 2 makes more important.