Hi Kevin,
That depends on where exactly you internet break-out router is...
For example, if you internet break-out router is sommewhere in Area 0, then anyways you have to go all the way to Area 0 ( read though all branch relay ) for internet access.
However, if you have got Internet in one of the non area 0 ( zero) then you can configure that area as NSSA ( if you want that internet link to be used by other area's as well ). In this case, you non area zero branches will use that ASBR for internet break-out.
PS: If you can provide rough topology ( diagram ) of you network, this forum can suggest better solution.
Regards,
Smitesh Kharecha