Personally, I'd fly.

I've done that drive (or very nearly), and if you're not doing it for "the sake of the road trip", it's going to get pretty tedious. As you point out, your options for meals and bathrooms are going to be really limited. The restroom issue didn't occur to me, but a friend taking a ~300 mile trip with his pregnant wife over the weekend said that finding open restrooms was a huge challenge.

Even fast food/drivet hroughs are sometimes operating on reduced hours at the moment - so arriving in to an overnight stop very late, might leave you without any meal options at all.

I've flown between LAX and ATL+AGS a couple times in the past six weeks or so. Flight loads seem hit or miss - some have been very light, some nearly "full" under the new seating guidelines. Schedules are reduced, like you're seeing, but getting flights in LAX isn't that challeging, especially if you shop outside your regular loyalty preferences.

If you anticipate renting a car, especially if you're going to be in LA for a while, you might look at getting it from a local office. Hertz in my neighborhood at the moment is way cheaper than out of the airport, especially when you consider the lack of facility fees.

Flying or driving, since you mentioned going to see an elderly parent, it probably wouldn't hurt to quartine briefly upon arrival, so you don't inadvertantly transmit something you might've picked up on the way. That, though, isn't the travel question you were asking.