Word support ended on iOS in app version 4.2 a few weeks ago, and Word documents were never supported on the other platforms, so I wouldn't recommend that.
You could export as a PDF with a nonstandard (long) page size, but I wouldn't recommend that either since it will break some pagination functions.
Reducing your document margins as I suggested should be fine functionally and would only leave you with the aesthetic problem of a thin black line where the page breaks are. If that's a big enough problem for you, you could use the built-in Lyrics fields, which are continuously scrolling by default, instead of attaching documents.
If you're having trouble setting auto-scroll times for attached documents, that's more likely to be related to your content not filling the last page than the small break between pages. To address that, you could adjust your line spacing so all the pages are filled with content (in other words, expand 1 1/2 pages of content so it fills 2 full pages). This isn't an issue when using the built-in Lyrics field because the "document" ends wherever the lyrics end.