Thanks for the comments, to summarize:
-The car has steel wheels with hubcaps so my axle straps won't fit through there, even if they were long enough
-I don't have a uhaul trailer or wheel straps, so those aren't problems/options.
-This will be a 1 time event for me, so I'm not worried about repeated wear on the frame
-Google images is unreliable, it looks like they find undercarriage pictures of ANY car, but you can't specify which one
-according to rockauto pictures the front control arms are aluminum (no sharp stamped steel edges), so I can axle strap them if there are no T slots in the frame or subframe
-the rear arms look like stamped steel, at least they're rounded, but the lowers look really short and have holes or bushings in the middle, so I can't count on those being an option until I see the car