If you want a general purpose, doitall style of road bike then CX will work, but I would look for one with rack and fender fittings and 2 waterbottle fittings.
Race-level CX bikes have totally clean frames to prevent the buildup of mud. Lower grade CX bikes often have more fittings. Now that disks are permitted, we are seeing some and they are a good choice but make sure the rear disk is rack-compatible.

Trailers are certainly a good touring solution on the open road. Not so good for mixing in with train and for getting through obstacles on bike paths. BOB trailers are the usual brand, pulled directly from the wheel spindle, not the bike frame.