I’ve been using aimloan.com to what-if the scenarios… They allow you to select income property as one of your options to get rates.
There seems to be a rate premium if you put less than 25% down. I was seeing 5.5% with a 0.5 point last week.
I can’t answer about the income requirements… I would imagine that you would need to show the ability to pay the mortgage… but lenders don’t always act rationally.