Hmm, it's all economics really.
My feelings are, don't part it out. Sell it whole, eat the loss. The time and pain of cutting it up is too high, and in the end you've got a mess on your hands that will cost some real big money putting whats left it in the land fill.
Market says its worth $1500 in your area. If you need the money sell it. I might sell the boat though for $1500 and then also sell them the trailer for an additional $1000 and the motor for an additional $500. But nothing will be sold at all till the boat sells first. The trailer and the motor will go fast for your price on Craig's List.
BIG Problem with parting out a boat. Shipping costs.
I have asked several people here on the forum in the past for parts off there boats. The price for the parts has always been fair but the cost of the shipping is a KILLER. To date I've only been able to afford the small bits that can be packed and shipped cheap.
No I think what you have here is what we call a boat.
Yea, I can be sarcastic but it's true. You love them when you buy them, typically you paid a little too much. You loved it, nursed it from your wallet year after year. Even the years you did not sail it even once. Then the day comes to sell it and you can get only what you paid for it the first day or even less. This does not include what you paid for upgrades, repairs, etc. You paid that for the right to own that boat. Kind of like condo association fee's. You never get that money back but we knew it when you bought them. And if we did not know it then we know it now.
I paid $1500 for my boat on day 1. I've put in another $1200 in repairs, upgrades and maintenance currently on this boat.
I paid $500 for the current outboard. (I paid more for the 2 dead outboards that came before it. Could have bought a brand new one for the money I put in those 3 used motors.)
I paid $550 for the trailer, then I fixed it up to fit my boat, say a total of $700 for the trailer.
So all told I have put about $3900 on my boat and another 125 hours of direct labor.
My boat, in my market, with the trailer and motor. I would ask say $3000 and be happy with $2500. Note it is not for sale, my obsession and the love of the boat would be pushing the $10,000 range. Emotions can be very pricy when it comes to my beloved Chrysler C-22.

And no I do not think I am the last owner of my Honu. Not by a long shot. I will sell it some day and it will hurt and I will never get my money out of it in any way shape or form. However owning it, sailing it, working on it, my friends here on this forum, PRICELESS.
Thanks
Alan