A loop road in the north I like is the 7 mile Blacktail Plateau Drive. In '73 when I did the road on my bike a sign said to look out for Grizzly's. In '19 I didn't see those signs anywhere in the Park, though there are still plenty of bears that might eat you. It's just a leisurely drive thru the meadows. There is a sign that says rough road, and they mean it. IOW: You don't want to take your Trans Am LOL
Figure the Park is one big circle. There's a road that cuts right thru the middle that makes it a figure eight, but it's just an unremarkable road in a Park full of remarkable sights. Go with the big circle and you'll see just about everything there is to see. Between 3:00 and 6:00 there are beautiful waterfalls and raging rivers. I don't know what you call them so I'll call them steam spouts, not geysers. They're all over the place and some make this loud eerie sound. Very cool, and not a tourist hot spot.
Old Faithful was faithful when I went in '73 and '83, not so much now. If you've seen it in '09 I'd skip it or you can waste over 2 hours there when there's so much more to see.
I'd highly recommend going before/after the summer crowds. They can be insane, and it's the reason I didn't really care for the Grand Canyon. I'd been to other gorgeous canyons without the crowds so...
Pick up a map at the entrance station where you pay to get in. It will show you all you need to know.
If there's anything you want a pic of let me know and I can post it here. Ask if you have any questions. If you havn't been, Grand Teton National Park just to the south of Yellowstone is incredible in a completely different way. There are tons of breathtaking hiking trails there, and it's hardly changed a bit in the last 50 years other than, yup--crowds.
Be sure to check that you don't need to register to get in, and they give you a specific time. After the '20 Covid bull**** people started getting out again in '21/'22 and the more popular NP's couldn't handle the crowds, hence the registration.
Did I mention to go before or after tourist season?
PS: I've stayed in West Yellowstone and Livingston, MT as well as Cody, WY. In '73 I camped I camped in the Park. West Yellowstone will be the closest for you. I've never stayed in a hotel in a NP. West Yellowstone is only about 15 minutes from the main Park road so there's no reason to get hosed more that you will staying outside
of the Park.
PSS: When you decide when you're going, make hotel reservations before you plan on being there. They fill up in advance near a NP.