As I mentioned in a previous answer, the problem you faced last time resulted from the complexity of the old fare system. Back then, it was relatively easy to enter the rail network in the Paris city center and take a train further out than you were allowed to. That's much less likely now because almost all passes are valid across the whole region and none of the tickets currently sold are limited to the center of Paris. So any recent ticket that's valid for the center of Paris is also valid at Le Bourget, which wasn't the case before last year and the reason why they would have checks.
The real issue is not Le Bourget but the airport side. The two main airports (Orly and Roissy) are the only stations left with a special fare. For this reason, that's the only thing that's outside the scope of regular tickets or Navigo Jour day passes. However, the Paris Visite passes do cover airports so you're fine with those.
Alternatively, you could consider a zone 1-5 (or “toutes zones”) Navigo Semaine week pass, which is cheaper than Paris Visite even for two days. Navigo Semaine and Navigo Mois are the only two passes where zones still matter (and the reason why I wrote that “almost” all passes are valid across the whole region). So if you do that, you do need to make sure you buy one for zones 1-5 (zone 1 is Paris center).
