I suppose it depends on what is being grown if anything, in those fields. IMO; Best case scenario, an unplanted meadow full of wildflowers or a hay field with clover or alfalfa. That said; I'm sure you already know the bees will travel far and wide to forage. The other concern of course is 'what' if anything might have been sprayed on those fields.
My bees are next to a 5-8 acre meadow, surrounded by forest and lakes, that turns gold every Fall with the Goldenrod bloom. :)
Many Beeks put their hives right next to or even in the middle of fields, both cultivated and not, so It 'shouldn't' be an issue, unless any of the above factors are added. I'd go talk with my neighbors if it was me and my bees.
Good Luck with the move!