Then again, your first solo cross country will probably duplicate a cross country route that you have flown dual before.
So if you can convince your instructor to do a dual cross country to Barra, and you show him that you can find Barra properly, and properly handle the sand runway and possibly some odd procedures they have in place, then who knows... He or she might just sign you out for a solo cross country there.
I'm not a flight instructor, but if I were, I would like to see a very solid and well-thought-out plan before even doing that flight dual.