You can get a domain name free (.tk for instance), web hosting free (acceptable for lower traffic faucets), and faucet scripts are available free online as well. Anyone with even a little technical know-how and a few Satoshi to fund the initial wallet balance can create a faucet with little to no expenses. The ability to do so makes running an online faucet fairly simple, cheap (free) and leads to sustainability and perhaps even some profitability.
I'm not sure the same can be said for a physical Bitcoin "giveaway" shop. The overhead costs of building and implementing the camera systems, microphones, coupled with the capital expenditures of purchasing a building and perpetual taxes, insurances and/or rent don't lend themselves to a physical Bitcoin faucet project that even sounds remotely sustainable or profitable enough to justify the efforts. I'd gather, in fact, such a project would bleed money and result in perpetual losses unless you figure out some really unique way to monetize the building and the people inside...and I can assure you, if people aren't getting paid enough to justify them standing in line, yelling "bitcoin", and spending time/money to go to the shop, it's going to be hard to keep the business afloat.