You are correct. This is a Not-For-Profit rental as Pub 527 describes. You absolutely report the income. You are allowed the Schedule A deductions you would normally get on a second personal home. The pub you referenced give you all the particulars.
As for HOA and other expenses, the pub spells it out: If you don’t rent your property to make a profit, you can’t deduct rental expenses in excess of the amount of your rental income. You can’t deduct a loss or carry forward to the next year any rental expenses that are more than your rental income for the year.
