I think I know how to make this palatable to landlords. Instead of renting these pieces out to individuals, instead lend them out to corporations and organizations like universities. Require the leasing corporation to assume liability in exchange for being able to offer their employee a short term stay at a price comparable to ordinary rental. The clearinghouse can still vet the individual on top of this.
well, if your organizations are going to assume liability, they are going to need to charge more than an ordinary rental. One wild party can screw up an apt. as much as six months of living, and if you are there for 6 months, well, the damage can be amortised over a whole lot more rent.