Scrolling notebook paper project woes

Considering this is essentially the first time I've ever used AE, I can't complain about the results I've gotten so far.

Here is what I am ultimately after: A fast, horizontally scrolling sheet of notebook paper (with the blue lines), zoomed out initially, gradually slowing down and zooming in a bit, then coming to a stop.

To achieve this, the "sheet" of notebook paper will of course need to be effectively very long in the x dimension. To achieve a sense of horizontal scrolling on a practically featureless image, some sort of noise and/or other indicators are needed.

All I have done so far is: Generate a slightly off-white solid, add fractal noise, add a grid, and turn on two lights.. one ambient light of 100% intensity (to keep the paper layer as bright as it was in its 2d iteration) and one subtle spotlight which mostly drowns out the noise effect where it shines.

The main problem I have encountered is this. In order to force the fractal noise to exhibit appropriate noise detail (zoomed out so it looks like a rough surface, as opposed to its default scale which looks more like clouds), I needed to scale the noise down. What this does is scale the entire layer down, rather than simply "zoom out" to force the noise smaller. The only method I have discovered to compensate for this is the obvious: Make the paper layer proportionately larger. Ie, rather than the already large 1920x1080 I began with, I had to generate it as 7680x4320. Only then would my modification to the fractal noise's scale (100 -> 25) give me the layer dimensions I actually wanted (1920x1080). The obvious downside - and it is VERY obvious when I'm working on the project - is that the computational time whenever I do anything with the project is immense.

This doesn't even begin to address the real hurdle: I still have to figure out a way to scroll along a very wide "sheet" of paper, as per my goal. Does it mean I will have to generate a layer whose dimensions are, oh, 300,000x4320? Impossible. There must be a better way.