Am I missing some obvious option here, or is there no option other than call it quits on this house and save up for many years on my own?

If you are missing out on good tenants because showing times don't work for you, consider hiring someone to fill the units.

To give a general idea of some of the mess they left - left it with 2/3rd of the lightbulbs burnt out, holes in 4 doors, very poorly patched holes in the walls in more than 5 locations, missing showerhead, missing ceiling lights, excessive mold, large hole knocked into paneling, enough garbage to overflow a roofing trash trailer, 2 tvs (1 stood 4' tall), cobwebs and filthy walls, excessively filthy carpet including over 15 dog male (squiggly!)

I have explored the forum posts regarding vacation rentals, and I haven't seen this exact topic addressed (unless I missed it), so I wanted to ask for feedback on this particular property. 

I am active duty in the military, and have not missed any payments to my trustee in over 1 yr.

This is my first time trying to analyze an actual property so here are my numbers.Purchase price:60kCash to close: ~3k(Im not totally sure how much I will have to bring to this deal as of yet.. so here's just an estimate)Income;Monthly rent: $775Monthly Expenses;Mortgage: ~$300Property Tax:$95Insurance:$75Property Management: $75Vacancy(10%): $75Repairs(5%): $40Total Expenses:$660Cash flow :$115Cash on Cash Return : 21%Am I missing anything?

I'm trying to ask all the right questions and I feel like I'm missing a few things.

I think you'll be missing out on some good opportunities, especially for Buy and Hold.

Miss.7.

Find out the return that they need, what specific areas they are interested in, what price range, etc.The 70% rule of thumb is a good place to start but you could miss out on deals depending on your market.