Filter product collection with nested OR/AND statements

Question

I want to make a query as below

 WHERE manageStock = 0 OR (manageStock = 1 AND productStatus != 0) OR (manageStock = 1 AND backorderStatus = 1)

but I can't use $collection->getSelect()->where() because these are EAV attributes so I need to use addAttributeToFilter() for them.

Please help to use the above in Magento's way.