As referenced above, the "heat shield issue" is that the exhaust gasses, from any car where the pipe is either a straight exit or otherwise aims at the rack, will gradually cook the part of the bike that's nearby. Since this is usually a tire, what happens are swollen, popped and burned tires.
Your Honda has a straight pipe outlet. The tip comes off and you can swap it out for a "turned end" tip you'd get from Kragen or whatever the local discount auto parts store is.
The next step is the rack and since you've got a low-riding car, you definitely want one that "elevates" the rack after it leaves your receiver hitch. You probably also want the smaller, 1.25" hitch, since you don't want to drag that on the ground and you don't need more load capacity than it will support.
Several racks will do the job. One that I've bought and many people around us use is the Performance 2-bike "flatbed" rack. It's easy to use, to pull on and off the car and is affordable. We've used it for long hauls and many rides, and it's great. Thule makes a good top-mount/hanger rack that's similar but for the attachment method, but you'll need to deal with "bike sway" issues.
Lastly, consider that your rack will obscure your tail lights. They totally do. I suggest you consider an auxiliary tail light or, at the least, trailer-tape/reflectors on the rack itself.
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