I love the SBAR format of your post!
Everything you said is relatable and unfortunate; the mere presence of your post is a testament to your professionalism and compassion.
My guess is you don't have a union; if you do please contact them and explain the situation - you pay fees for things like this.
Talk to your fellow nurses and see how you and management can move forward that is safe for patient care and important for staff retention, morale and the like. Managers come in all styles but their purpose is a properly functioning department. Happy and appreciated nurses is critical to a well flowing department.
If all is fails I recommend holding yourself to the appropriate standard in the given circumstance. For example, if you typically chart very thoroughly, chart what you need to communicate the facts, simply paint the picture and protect your license - a minute shaved off charting is a minute gained somewhere else.
For the patient you've assessed is kind and not critical, let them know, it's really crazy, you're important to me, but things may take longer than we'd both like due to census, etc. Setting up realistic expectations for to realistic people takes some weight off your shoulders.
Deciding to leave is a big decision, regardless of finances. Weigh your options, see if the grass is greener on the other side. Since there is no medical person at home, connect with your colleagues as often as possible for the comradeship and understanding. Love yourself for what you do and understand it is hard times, it really is; you're doing the best you can, but it's hard.