We had to do that to a buddy's Miata recently. I think you need to back onto the trailer to tie it down properly because the front stops are WAY too low for a lowered car. We had to take my buddy's bumper off in order to strap it down. But I think you'd have enough clearance in the rear of you backed it in.
Rusty, I don't see tie downs in your photo. Where did you attach the car? The uhaul we rented attached at the front and required the car wheels to be resting against the front edges of the trailer to prevent movement fore and aft. You can see in your first picture where the tie down straps would be cranked tight right below your bumper. You can also see that if you drove all the way to that point you probably don't have a bumper anymore.
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