Here's my quick recommendation:
Forget about using internal mics on a handheld recorder for this application.
Buy the following: 2 x Shure SM11 miniature dynamic lapel mics (~$100/ea, you'll need to get them online, most shops don't have same day stock of them), and 1 x Tascam DR100 mkII (~$300), total = $500. Sell it all the next day for $400. Cheaper than renting the gear for the day.
The SM11's will distort at 160dB SPL (so are basically unclippable), are omni-directional which means they are more resistant to vibration/wind noise (A Good Thing in car recording), are tiny which is good for accurate placement, and have a long, thin, flexible cable which is good for sneaking through car door/engine bay seals. Wrap the capsule in a 4"x4" piece of fake fur for wind protection. Secure the mic/cables with lots of camera tape (not gaffer tape because it can take off paint)
The Tascam with its inputs set to MIC mode, and on minimum gain, can handle the output of the SM11 mics at up to 154dB SPL. It's a good match.
Recordings made with the SM11 will need to have bass boosted in post (low shelf eq, +12dB @ 200Hz) to counteract its low-end roll-off due to it being mainly designed for speech.
Car recording is kind of a hobby of mine, so if you don't mind some suggestions I'd recommend (with a 2 mic setup) putting one mic on the exhaust (out of the way of the pressure blasts and wind turbulence) and the other one in the engine bay but favouring the air intake, which is where a lot of the action is (but not too close because a Lamborghini V12 gulping in air will swallow it whole - then die). This may not be possible if the intake ducting runs out of the engine bay. In this case do some tests of whatever sounds most interesting. Either way it will be pretty freaking awesome, so enjoy it!
Good luck
Ben