Do you plan on dragging around a completely empty trailer? Dry weight is a useless number and you should be looking only at it's weight when loaded with your stuff or better yet, looking at it's GVWR. Assume it's LOADED tongue weight will be 15% (then range from 10% to 15% and you need to be able to tow it regardless of how it's loaded). Just curious how you arrived at such an odd number as a maximum though. Are you sure it's not the HITCH rating you're looking at? If this is so AND if you still have available weight while staying within your axle ratings and your GVWR then you CAN go heavier.
Having more information about the tow vehicle would make it easier to provide some real answers as opposed to just having a discussion.
Good luck / Skip