., such as the ability to offset W-2 income with rental losses using accelerated depreciation, but I’m unsure if the same strategies apply when dealing with foreign properties.

There are companies that can do this for you.Having the property in your name will not stop you from taking a loss on your taxes, you don't need to move it to an LLC to accomplish that.

If you have each been declaring 50% of the gain/loss from each property then you would each be the "tax payer" for 50% of each of the properties. 

You don't get to choose who claims the property based on who makes more money.Third, here comes the bad news: you cannot generate tax losses from renting rooms out of your own (or your daughter's) residence.

You will be showing a paper loss on your rentals so you want be paying any taxes off them.

I have one right now that loss mitigation last week said it looked like a good offer and so it was handed over to their negotiator.

I have losses financially now as the rehab time is almost twice the timeline now that was given in the beginning.

I beleive whether they count your paper losses as actual losses or not is determined if your lender has any overlays or not.Someon ccorrect me if I am mistake. 

It might even be sell at a loss and just move on rather than chasing bad money with good money.

Most times things don't go to plan in one way or another.You need to develop your project management skills because that is how you eat a loss on one area and manage the project to success.