I'd like to strongly recommend a look at Zebralight AA headlamps. For both "car things" and first aid, having both hands free can make a huuuge difference. These are also quality devices, yet well within budget.
I agree that high cri is a good choice, which lands you with the models ending in the letters c or d. Letter alone is spot+spill, if there's an F in front of it, it's floody.
I also agree (strongly) with the recommendation of lithium primary, but the L91 lithium primaries in AA-form factor have an even greater shelf life than CR123A ones do. If cold weather is a thing where you live, they'll also do well in low temperatures.
Your budget would actually allow for both such a headlamp, and a "normal" flashlight from the same vendor. If possible, then I'd get both, and stash one in the glove compartment, and the other in the first aid kit.
Edit to add; quarter twist of tail cap gives full lockout, so you wouldn't risk the battery being drained when you'd need it the most.