I think the best way I could assist you at this point, short of trying to do some sketches to refine your design, or give you some more ideas of where you might want to go with this, would be to link you these two pages:
This shows concept sketches for what became the Sovereign class:http://www.starshipdatalink.net/art/1701-e.html
And this page shows concept art for what became the Nova class: http://www.starshipdatalink.net/art/equinox.html
These two starship classes possess many of the characteristics of the Sovereign class. It is my hope that by the time you are done looking through the concept images and perhaps done reading the design processes of these two fine vessels, like me, you will have succumbed to the urge to start sketching out ideas in your head, and of course have found design elements you would like to incorporate into the Remington.
If your good enough at sketching, perhaps that is what you should do afterwards to help yourself explore whatever ideas you might get.