Are you sure that you want a full displacement trawler? That spec removes about 95% of the possibilities out there including all of the old, tired Taiwan Tubs which otherwise might fit your price target.
What is left in the full displacement field is often the cult boats like Prairies and Willards that never get near that price target.
So unless you have some specific need for a full displacement hull, like ultimate fuel efficiency, look at semi-displacement trawlers.
Also Cragslist, boattrader, etc are better sources than Yachtworld at that price.