I have a somewhat (not exactly) similar occupation as you do. However, I don't have a Model S with ludicrous mode. In fact, I didn't think I could ever afford a new Model S, despite the tax break - at least not as long as I would keep my classic Porsche (which was my childhood dream that I've owned for 20 years, so I'll be very reluctant to ever sell it).
But I know what I want, and I'm willing to wait and make some compromises. For example, I don't feel that I'm above buying pre-owned. Letting someone else take the depreciation and shopping wisely has saved me much money over the course of my life. And I'm not about unselective choices - I don't need "Fully loaded", or "The full enchilada". Ludicrous mode? For what? Even the slowest Model S is soo much faster than my other car.
I bought my Model S pre-owned, as a 60D. I still cringed about spending so much money on a car, but it was exactly what I would have ordered, plus some options I would have been too cheap to buy. However, being a 60D, there were not many people interested in it. Why? They don't know that you can buy a software upgrade from 60D to 75D for only $2000, while the used car price for a 60D is about $7000 less than for a 75D. So, here I saved $5k right off the bat.
While I had the cash to pay for the car outright, I opted to finance about 2/3 of it, to preserve cash. The reason was that I planned to buy a 2nd property in the future, and I wanted to make sure I wasn't constraining myself too much with the car.
I did buy a property in the meantime - a completely run-down condo at the beach in San Diego. I spent the cash to have it gutted and completely rebuilt and furnished, per my own design. It now serves as a combination of my own vacation home and vacation rental (managed by an agency) when I'm not using it. You can see it here:
Sleek Pacific Beach 2BR/2BA w/ Garage Parking, Near Beach & Entertainment - an EV charger will be installed sometime this year.
Is my situation anything like yours? I have no idea, so this may not help at all...
Still, I'd like you to take away the following lessons:
a. You can make some compromises that save you a lot of money (buy used, and perhaps not top of line)
b. Preserve cash, so you can deal with uncertainties or better opportunities despite the car
c. I know nothing about finances, so don't feel bad if you are not sure what's right. You are not alone.