I'm not even sure what a "destination gas station" means. I see some big ones on our road trips, and all I ever do is stop at whatever one has a reasonable price, then take off.
My favorite gas station is Costco because it's cheap and there's no stupid ads on the pumps. The second best is probably Maverick because they generally have pretty clean bathrooms.
They're right off the interstate, typically at about the intervals you'd pit stop anyway, so convenience is a factor.
The food is pretty decent for fast food, tons of snack selection including lots of their house brand, at least a dozen flavors of their jerky. Prices are somewhere between grocery store and convenience store, but some of their house brand stuff is pretty competitive. They've got a lot of clothing and housewares, think like a cross between a Cracker Barrel and a Target. Gas is typically reasonable for the region in my experience, bathrooms are famously clean.
It's kind of the perfect spot to stop for gas on a trip: stretch your legs, pee, grab a hot sandwich, maybe some flavored popcorn to snack on later, grab a blanket with a big beaver face on it cuz the kid's trying to sleep in the back and you forgot to pack one. It's a true one stop shop.
Their gas prices are always cheaper than anything else you'll find just of the highway. They literally lose money on gas sales - just so you will possibly buy something in the store.
The prices in the store aren't cheap (about what you'd expect from a highway-side gas station), but you can get all kinds of stuff in there. BBQ, roasted nuts, deli sandwiches, fudge, and some of the best beef jerky around