OP I'm sorry you are feeling so lost. I just went through it all last year with ds19.
It was all very crystal clear for us, explained almost on a remedial level on all the websites, to the point I found it almost offensive that they thought parents were all morons. (Unless English is not a family's native language.)
Our HS did have parent meetings starting early in senior year but also I read up on it as much as possible. This really is time consuming but worth it. Our school stressed very much that one should never assume they won't qualify for aid and at least apply with FAFSA. That's where it all begins. Thoroughly read their website & studentloans.gov. Once your FAFSA is processed they give you your EFC, Expected Family Contribution. This is the amount that you are expected to contribute, whether it's by loans or savings or a gift by Grandpa, or whatever. At that point the school should send your child a financial aid package. For ds, this listed what the approximate total would cost for the year, based on the room/board/meal plan/major ds selected, then subtracted his scholarship funds, then listed our responsibility. His school did offer a 10 month payment plan but it was more than we could afford and like you said, we didn't want to be cleaned out.
Does Penn State not explain this? Did they say you don't qualify for any federal loans? Is that what you mean when you say "we're on our own"?
The financial aid offer listed what federal loans we qualified for and told us that private loans are also an option. They listed a few private loan providers that are reliable but again, as a pp mentioned, they can't help you decide. We could get the $5500 loan in his name, with part of it subsidized. The rest was on us to provide. We chose the parent plus loan mainly because if either myself or ds should die or become disabled, the loans would be discharged. Sorry, I work in a large hospital/trauma center/spinal cord injury center. I know logically, the odds are low but I can't help but worry about these things. Even if I chose a private loan, I would have bought life & disability insurance that would cover the loans just in case, which would be added cost.
http://www.today.com/health/after-d...-forgiveness-her-200k-student-loan-1D79996678
Also, from what I read, private loans should be one's very last choice. They are not forgiving and can kind of make up their own rules which you should completely understand before agreeing to. They do offer lower rates than federal loans and that's great if nothing ever goes wrong/unplanned with your future or your child's future. I couldn't count on that. If you're ever a tiny bit late on a payment, they have permission to gouge you, and you would have agreed let them when you signed up. No thanks.
It would be a cold day in you know where before I'd put student loans on a home equity loan. That's just way too risky imho.
Parent plus loans, go in your name & do have origination fees which get deducted from the amount that actually gets sent to the school. Even though the actual money comes from the Dept. of Education, you pay them back through one of many loan servicers. You don't get to choose this; one is assigned to you and you would be notified who the servicer is. Their website lists all the possible servicers. Ours is Cornerstone and they've been fine. Again, the servicer simply collects the money on behalf of the Dept. of Education. You don't get the loan directly from them.
In the process of applying for and accepting the Stafford & Parent Plus loans, we both had to read a long tutorial, mostly text but with some animated video, that explained it all using words that a 3rd grader could understand. I'm not kidding. (Seriously, if one is entering college and doesn't understand what the word LOAN means, maybe college isn't the right choice.) I sat with ds while he read this part because he had to sign that he understood completely in order to accept the loan and I wanted to make sure he didn't just skip over the fine print. (This is not like downloading a game from Steam with lots of fine print that he skips over.) It explained the different choices in repayment (standard, extended, graduated, income-based, etc.) and also explained how interest rates and repayment terms affect the total cost of the loan. It explained deferment, forbearance, etc. Again, it was on a 3rd grade level. Ok, maybe 7th grade at this point.
Maybe this is all new and students in the past didn't go through so much explanation but I paid for my own college with the 10 month payment plan and PT job. Even then I clearly knew the difference between a loan and a grant. It seemed like everyone did back then and why I'm surprised that they dumb it down like they did. I'm sad for the pp who said her mom signed her up for lots of loans and she didn't know it. That is really messed up to just throw your kid under the bus like that.

In fact, I would think that's probably fraud of some sort.
OP, I know it's a lot to think about and just like so much in life, you learn as you go through it. Just be sure to read everything and re-read it. Maybe make a list of the pros and cons of each choice and that will help you to narrow it down.