C corporation for purchasing rental properties

I'm thinking about purchasing my first rental property to diversify my assets. I'm wondering if starting a C corporation, where I am the sole shareholder, makes sense. 

I know some downsides: double taxation as the corporations profit would be taxed and dividends/wages to shareholders/employees. Could I just not pay myself any dividend or wage as the sole shareholder (since I really don't need the payroll back as this is just passive income stored in a corporation where I'm the sole share holder)?

How would one procure a loan for the purchase of a rental property as a C corporation? Would this be a conventional mortgage or would this need to be some kind of business loan? 

On initial funding (I'd imagine I'd need this to back whatever kind of loan as downpayment): could I initially fund this C corporation, marking this seed funding as debt or equity (maybe the former is ideal in the event I want to distribute a dividend/wage back to myself from the C corporation?

As a (relatively) new grad and young professional looking to expand and diversify my portfolio, any answers or advice would be greatly appreciated. Thank you!