You are making some wise choices based on budget and what you want. T.T.s offer a great value but at the bottom of the ladder you will likely find fuel tank and teak deck issues (both leak). I've never seen a T.T. with enough refrigeration though. Mine is a 36 foot, likely you will end up looking closer to 40 feet and all your boxes may be checked.
Another option to the T.T.s is the older Chris Craft Commanders. Built like tanks and very easy on the eyes. Be sure to get diesels as Chris was still putting gassers into some 40 foot boats in the 80's