Any boat can get tossed around and onto rocks and into pilings. I can show you photos of displacement salmon trollers that ended up in just such situations. So the kind of hull you have is no guarantee of no problems. Your statement is sort of like saying "I was in an accident in a (name your car here) so I'm never going to get that kind of car because they are prone to accidents."
From your minimal description of your experience it sounds like the outcome would have been the same had the boat been a GB, CHB, Fleming (bazillions of dollars), deFever, Eastbay, Bayliner, etc, etc, etc. Sounds like your problem was your skipper and his judgement and abilities or lack of them, not the kind of boat you were in.
Full displacement is a meaningless term since a boat is either displacement or it's not. If it's not, it's semi-planing or fully planing. Or submersible.
You can certainly use whatever term you like--- none of our boats are trawlers, either, unless someone here happens to have a boat with trawl gear installed--- but displacement is the only word you need to describe that type of hull.
Your budget will determine what's possible and what isn't. Most of the boats we've been talking about---- Nordhavn, Krogen, Victory Tug, Hatteras, Selene, etc.--- are pretty pricey even used. If they're not, there's a good reason and in the end, you will either have to spend as much as you would have had to spend to buy a newer boat of the same type, or you will have to lower your sights and get a different type of boat.
One displacement boat that has been mentioned here that is generally priced relatively inexpensively is the Willard. Particularly the smaller 30-foot models. Excellent design, well built, but only you can determine if this boat would be large enough for what you want to do.
Boats are never-ending expenses. The easy part is coming up with the purchase price. The hard part is covering the ownership costs every year which the very general rule of thumb says is ten percent of the purchase price of the boat per year as long as you own the boat. Ownership costs are everything associated with owning, insuring, mooring, maintaining, and running the boat except finance payments if you finance the boat.
A piece of advice I read back in the 1960s in a magazine article could be very apropos in your situation, and that is to "buy the smallest boat you can afford." By which is meant that if you have x-amount of dollars to spend, the smaller a boat you buy the newer or better condition it will be in. Obviously you don't want to buy a boat that's too small for your requirements. If you absolutely need a 40' boat to do what you want, buy a 40' boat. But don't buy a 50' boat just because you find one you can afford with your x-amount of dollars if a 36' boat will suit your requirements. For the same x-amount of dollars you will almost always be able to get a 36' boat in far better condition than a 50' foot boat.
Based on what you say you want in a boat, and the fact you are not prepared to do most of the work on it yourself, I would say that unless you approach this with at the very least $200,000 for purchase and preferably more, you are most likely to be disappointed. (That's a debatable statement, I know, but that's what I happen to think.) And if that's what you buy a boat for, don't forget to earmark $20k for annual ownership costs. Some years will be less, some more, but that ten percent per year figure generally works out to be pretty accurate over the long run unless you buy a brand new boat.
Yes, you can buy a great boat for a whole lot less than $200k. But if you want a boat capable of open ocean cruising you need a reliable boat, not a project boat, and you need one capable in terns of its design, construction, and equipment of making the journey safely. And these types of boats are not cheap, even used, unless you are willing to settle for a very old one or a beater, both of which will require a huge amount of work and/or money to get them up to the point where you can truly depend on them.
If you can do the work yourself over several years like some of the members of this forum are doing, you can end up with a lot more boat for a lot less money. But if, as you imply, you are not in a position to do much of your own work on the boat you'll be hiring the work out and at yard and shop rates that are approaching $100 an hour these days, the bills are pretty impressive when they come in.
Good luck with your search. There are zillions of boats out there of every possible type, description, and condition. If it's meant to be, you'll find one to suit your purposes even if you have to morph your purposes around a bit to fit reality.
And remember, this is supposed to be fun.
