the earth’s direction of travel

No such thing.

The definition of that changes depending on the reference frame you use. Relative to a rock, it’s one answer. Relative to a nearby star, there’s another answer. Relative to a different galaxy it’s a completely different answer. It goes on and on, because you cannot define motion as being relative to space, since space is not a thing.

On social media you may hear tales about certain frames of reference being somehow “universal”, but they are all doing favorite sports teams there. No reference frame is privileged. None whatsoever. Nada. That one reference frame you just thought about right now, that you feel pretty confident about - is not privileged.

This is one of those questions that laypeople expect to have a simple answer, and other laypeople argue on social media that it does have an answer. All those answers are relative. Change the frame, and the answer will change.

That’s all.

The thing you’re looking for is (almost) called the “velocity vector.” You can get the values for any date and time here with these settings

Ephemeris Type: Vector Table

Target Body: Earth

Coordinate Center: Solar System Barycenter (SSB) [500@0]3

Time Specification: Start=2023-11-21 TDB , Stop=2023-12-21, Step=1 (days) (or whatever you want)

Table Settings: defaults

That will give you a table that includes VX, VY, and VZ. Those will be the velocity of the earth at that moment, relative to the J2000.0 reference frame. I don’t know if there’s any straightforward way to convert that into a point in the sky.

Easier, at sunrise, stand facing the sun. Point your right arm straight up (left arm if you’re in the southern hemisphere). Lower your arm to the side by an angle equal to your latitude. You’re now pointing more-or-less in the direction the earth is moving. That’s only completely accurate on the equinoxes. To improve accuratcy at other times, in the winter move your hand a bit away from the sun and in the summer towards the sun.