To start with a stupid question: you talk about your wife being from a LCOL EU country, then talk about Euro risk. Is her country on the euro? I find the intersection of the two very small. In fact, my friends in Slovakia generally lament going to the euro, as costs there took quite a jump up with the transition.
If the answer is no, then I wouldn't worry much.
If the answer is yes, then the answer as to how to hedge will depend very much on your personal risk tolerance; and you might not *really* know until your stomach has been tested through some real occurrence of the risk. But for starters, with such a large cash cushion, I would suggest you could move that to euro-denominated instruments. If you look at the history of US-euro trade, even going to extreme values, that length of time would generally outlast the pain period.
One note, though: if you intend to act soon, you will be sacrificing yield (such as it is) to do so. Many yields are negative, both in real terms and even nominal terms. But your cushion isn't there to make you money; It's an insurance policy. Just steel yourself for that reality for the foreseeable future, and don't let regret or resentment build up.
If you want some flexibility to do this, you might look to open a Revolut account. Rather than move currencies between accounts, Revolut lets you hold multiple currencies. It is widely used in Eastern Europe (and by Eastern Europeans working across Europe) and is now available in the US. Doing so now would let you prepare by moving some or all of your money ahead of your move.