Obviously no one has a crystal ball and knows for sure, but since you would be here for a few years, keep in mind the refi process with a VA Loan which is an IRRL, is cheap and simple...so even if you buy now with no money down, use your $15k savings for some value add to the property, and then rates continue to decline, you'll be able to easily refi with a VA IRRL and drop your payment anyways before you go transition to LTR in the next few years.Lots to think about, plenty of ways to go about it, not right or wrong, just depends on your needs so reach out if you'd like any guidance...

I have all documents necessary to get this ball rolling.

Have to take baby steps in order to get the ball rolling. 

While no one has a crystal ball, consider whether that amount is right for a downpayment for your family given the new area, home price ranges (which may continue to appreciate, especially if rates come down in 2024), and the resulting expected monthly payments on a new mortgage. $50k might be the right amount, but if you haven't already projected monthly P&I on the new home at $50k down, I'd recommend doing so before committing remainder to investments.3. 

It might work in some area of the country, but it’s not going to work to low ball every single house you see in the San Francisco Bay Area.

A good realtor with work with you Banker to design a long term plan to keep the ball rolling. 

But the ball isn't in the buyer's court, that's my only point.

But hope this helps you get the ball rolling. 

You have to apply pressure when necessary to keep the ball rolling.

And yes I’m very late to the ball game, extension may be needed.