Orbital Ring
This approach might be a bit too far out of the box thinking, but it would allow you to get an exactly equatorial highway. In summary an orbital ring is a space elevator for grown-ups and allows extreme feats of engineering.
Crucial to an orbital ring is the concept of active support. Whenever you build a structure you want it to stay stable. Buildings do this by relying on passive support, i.e. their own structure can carry their weight. This approach is limited by the ability of the building materials to resist the force the rest of the structure exerts on them. This is Newtons third law, actio = reactio. Actio is the force the structures weight delivers and reactio is usually the force the material must be able to muster. Yet nowhere it is said that reactio must be provided passively. Imagine a friend of yours is walking over a thin plank, which would break under his weight. The passive support of the plank isn't sufficient to counteract the force your friend exerts. Now you go under the plank and push it up, so that it can hold your friends weight. You are providing active support. The great thing about active support is that you aren't limited by puny compressive or tensile strength, you are dumping energy into the system to keep it stable. And you can dump infinite ammounts of energy into a system.
Secondly some basic orbital mechanics are important for the ring. An object moves through space on an elliptical trajectory corresponding to it's speed. The faster the object moves (i.e. the more energy it carries) the higher it will move. If the object is restrained from moving into a higher orbit appropriate for it's speed it will exert a upward force on the restraint.
Now imagine bringing a stream of orbiting, magnetic slugs in a circular orbit arround earth, lets say 200 km high. They will move at orbital velocity. Arround each slug we have a a metal ring containing electromagnets. The rings are loosely connected and under power. They too move at the same orbital speed as the slugs. Then we activate the magnets, forcing the slugs to move though the center of each ring.
Finally we start decelerating the rings with their magnets. This will transfer their momentum to the slugs speeding them up. The now faster slugs want to move to a orbit higher than their current 200 km. The now slower rings want to move to a lower orbit. But the magnets force both to interact. To be precise the rings want to fall down with the same force the slugs want to go up. Like on the plank with your friend, the situation is stable and the structure stays in place. We continue this until the outer structure sits statically over the earth. The rings, also called stator, sit fixed 200 km over the earth and levitate magnetically over the slugs, also called rotator, which keep the structure in the sky.
At this point you can drop tethers down from the ring to ancor it and to install elevators. One of the rings many advantages is that normal nylon ropes will work for this and that no fancy carbon nanotubes are required. You can send tethers down to everywhere within a ca 500 km distance from the ring.
As for the highway you can simply builed it on top of ring. Call it skyway 001. You just need to speed up the rotator to counteract the weight and this force the roads and vehicles will exert on the ring. You might want to roof over the road though, as most cars do poorly in hard vacuum.
You feel fancy and concider it indignifing to be carted up in an elevator? You want to get the road trip going by driving up inti the sky to cross the atlantic? I got you covered. Just use the tethers to have a road ramp with a manageable slope hang under the orbital ring.
As for how it would look like? Imagine sitting in your car, driving down a highway in Ecuador. There is the lovely nature with mountains and dense, exotic forests on both sides of the road. After winding up a steep serpentine you stop in on the top of the mountain gaining an amazing view of IT. A gentle, impossibly thin silver ark spanning beyond the horizons on both sides. It shimmers in the light reflected of its solar pannels and seems to sit in the sky on a silvery cobweb of tethers, connecting towns and people with their elevators. Your gaze wanders eastwards, towards the point where you will reach the ring, slightly above the horizon. At that point the ramp branches of the ring, arcing gently down to our ancient earth. Its base lays hidden behind the next mountain chain. You will climb the ecalera del sol.
Later that day you race over the skyway. Right and left views only granted to the few privileged occupants of the old international space station in the beginning of the 21st century are yours to enjoy. In the distance you can see the gold and green colors of Africa.