Not exactly sure what you mean with wanting the texture from the Dynamic Paint…that sounds like you’d need a Resoluton of at least 16K. I also don’t understand why you’d have to Subdivide the ground Plane, if you don’t need Displacement.
And there wouldn’t be 2 separate animations to match up, in my suggestion; the wheel follows the Curve and is used as the Brush in DP, which is used as the mask to reveal the tyre track, that is already there, You also don’t need to use an Array for the tyre track; a Curve has UV’s that you can use for an Image Texture of a part of the tyre profile.