Sounds risky on many levels, but still interesting.
Even more interesting: rent the properties for
BTC, not $. Bitcoin needs more of an economy than just investors shuffling funds around. Charge rent in
BTC, peel off dividends, then convert remaining
BTC to $ for the mortgage payment.
Mid-month mortgage payments would give you two weeks to do this conversion, so there's no worry of tight deadlines being missed due to problems with exchanges.
If you can hire contractors to do repairs/maintenance for
BTC, even better. You'd make national news doing this (remember the guy selling his house for
BTC in Alberta?), and you'd have your pick of both tenants and workers.