Fit may be a problem.However if the budget is $350-500. I would definitely be looking used. $350 is scraping the bottom of where you'll get a good, serviceable road bike.
If you can find something that fits that started in the $1,000 range, is 5 years old or so, and still in good shape, I think you'll be much better off.
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You could fall off a cliff and die.
You could get lost and die.
You could hit a tree and die.
OR YOU COULD STAY HOME AND FALL OFF THE COUCH AND DIE.