Though I do not own a BRV, but have researched it a lot as I was thinking of buying it but ended up with Altis 1.6. In my opinion the BRV suspension is not designed for off roading specifically. But the increased ground clearance gives it an edge in this regard, and its cuz ov this that many wrongly think that the car is designed for off roading.
Here in Pak, we do a lot of off roading with even sedans cuz of the poor road conditions..... Even though those cars are not designed for it..... Thats why toyota is more popular in Pak as it has suspension more rugged than honda, yet not designed for off roading....
Vehicles designed for off roading are like Hilux, Land Cruiser, Land Rover etc....
In Pak, one can use any car for off roading, even Mehran 
But if you love ur car, do not try it till the time its unavoidable.....