A few days ago I was driving fast (like a stupid, stupid idiot

), underestimated a single-lane right turn (there's an island separating the coming and going lanes) and I was able to slow down to around 50-60kph before my brakes locked and my tires skid. I turned the wheel to the right so I wouldn't jump the curb and hit another car but the front left tire hit the curb first, and the rear left tire whipped into the curb from the impact. I was able to drive it 30 meters to a nearby parking lot to assess the damage and when I was driving there I could hear a "shringing" sound. Like the inside of the rim was scraping the brake calipers but just barely, making a sort of a high-pitched knife sharpening noise. Anyways I parked the car and noticed that the front left tire was coming out at a slight angle (I would say 2-5 degrees) and the rear was slightly angled as well. I drove it slowly to a nearby Toyota dealership and got the estimate for over $10,000. I asked if there was engine damage but they told me that they couldn't assess engine damage since the wheels were so wobbly (what, so it could cost even MORE?).
First of all, yes I am an idiot. I couldn't sleep for the last few nights because of what I did to my car. I've been driving this for 6 years now without any speeding tickets, crashes or even bumper/body damage. I don't know what got into me, and I am by no means an experienced racing driver. I feel terrible, and the only fortunate thing that came from this incident was that I didn't hit anyone and I also wasn't hurt. But it doesn't change the fact that I was a dumbass and I never should've been driving like that in the first place. So please don't post obvious remarks that don't help my situation, I'd appreciate it very much.
Second of all, there was no damage to the bumper or body of the car. I was lucky that the curb was shallow and I was able to avoid any damage to the radiator and other engine compartments. I know this for sure - my engine started fine and the dealership confirmed this as well.
Third of all I know that my steering wheel doesn't "wobble". I was driving (50-60kph) without such an issue. Unfortunately I didn't remember to let my hands off the steering wheel when I was driving to the dealership but I did try that while driving 10kph in the parking lot and it drove straight.
I know for a fact that I am getting scammed. My licence plate is from out of province and I am a student - can't get any better than that.
I just want to ask what the possible damages could be.
I did some researching in some other forums and I got:
Wheel bearings
Tie Rods
Sub frame (no clue what that is)
Control Arm(s)
Strut
Axle (hopefully not)
The funny thing is The quotes that some people got were between 1000-2500 for what seemed to be worse damage to the car (wheel coming out at a 20 degree angle, etc). The replies all pointed out to possible scams.
Any suggestions?
I'm going to pick up the estimate/damage report from the dealership, so I'll post the details later. I also took a picture of the wheel misalignment before I dropped my car off so I will also post that later. I'm pretty skeptical about what they're going to put into that report - I'm expecting a sheet that just says 10K written at the bottom of it with no specifics...but we'll see.
Thanks for any help in advance.