What happens when you try the following?
1) create a section, put the {LargeField} in it by itself, select Can Grow as a field format option.
Test this - you should get see the formula, but not have the page breaks where you want, and the section will print even if nothing is in it.
2) Format the section to suppress if blank
Test this - this will get rid of the blank sections, but the page breaks are not where you want them yet.
3) For the section New Page Before and New Page After formulas, use the following formula
Not IsNull({LargeField})
Test this - This should give the page breaks you want.
If you have page breaks triggering on other sections, you may get extra blank pages.