I could feel the DREAD radiating from your post!!
The first year is super stressful, no doubt. I would recommend a couple of things: first, start looking! Realize that you might take a pay cut, but see if you are qualified for some of those Mon-Fri jobs out there. You have a BSN, which is good - that is a minimum qualification for many places (very regional, though). Second, unless something awesome falls into your lap as a result of looking, I would be prepared to stay on your PCU for a solid year to get that magical "one year of acute care experience" so you can check that box. It might not matter - again, depends where you are.
Never hesitate to get help if you need it. And just because others have had difficulty finding work does not mean that you MUST feel grateful; misery is misery, and you are allowed to have some if you're feeling it. You earned your position for a reason, and when you leave for something better, you can feel good that you opened up a spot for someone else.
Sanity is priceless, so if a pay cut is manageable, take it. I have exchanged pay for my happiness, and I have no regrets. It's worth it, and I ended up somewhere great in the process.
I am glad to hear it is getting better! 6 months in, but how many on your own? I am glad you have supportive coworkers/management, but that is never going to fix the scheduling piece. There are many ways to be a nurse, not all of them result in weekends/holidays/days away from family if that is what is important to you. For those people who feel that you need to "earn" your way to a better schedule, well ... they aren't living your life, are they?
Best of luck!!!