7 mile round trip. Seems like an e-bike is all you need. Seriously though. You might save yourself some money and get a Used BEV. You don’t point out any need for long range so a Mk II 40kWh Nissan Leaf could easily filt the bill, with its 160 mile range. Plus It has Chademo rapid charging, which isn’t that rapid or prolific. But it uses standard CCS for Level 1 and 2 charging.
I agree that level 1 charging should be all you need.
Do you want to buy a car from Elon Musk??? I’d look into buying used or leasing as the prices are attractive right now. You can qualify for up to a $4000 used EV tax credit provided you buy a qualifying EV, don’t spend more than $25K, and your annual income is less than the IRS-approved thresholds (i.e. $150K/year filling jointly).
You should be fine, as long as you can use your work’s garage regularly and get about 8 hours per day of that use.
I have a Model X Plaid in an area with moderate winters as well.
While I have a garage at home, I only use a regular 120V outlet for charging. I have similar daily driving needs at about 15 to 30 miles per day. 120V is plenty to top back up to ~80% over night. When I have to drive more than normal, it might take a night or two of overnight charging for the start-of-day state of charge to catch back up to 80%, but that is effortless. In the rare cases where I need to drive hundreds of miles per day in quick succession, I just stop by the local Superchargers. (And obviously, I use Superchargers on road trips.)
You could probably rent a Model Y for a few days and see how it plays out.
In subfreezing weather, you’ll struggle to add any range to the battery charging at L1. All you be doing is heating the battery.
If you can’t reliably use your workplace charger, I’d avoid an EV in your situation. You don’t want to rely on public charging either. It’s very expensive.