There's some really good opinions in this thread, lots to think about.
If you do decide to take a leave of absence, I recommend that you be completely honest with your management as to why you're taking it. Everyone realizes that aviation is in a really bad place right now. No one would criticize you for taking a non-flying job for a few months, and it might possibly prevent a more junior pilot from being furloughed. Just be careful to comply with any company rules or contractual language regarding leaves. For example, we're required to keep our contact information up to date and be willing to come back within six weeks if they call us back early.