Personally I would say the social part is a giant benefit of staying in a hostel. For that reason alone I would chose one over a hotel.
If you're really going for cheap though, there are some shady love hotels that you could stay in, you pay flat rate for the room regardless of how many people are staying, and the rooms are larger than business hotels.
You might have to try to hide the fact that you're backpackers... but I bet you could pull it off.