Now I'm trying to think of any Coast Guard vessels, modern or otherwise, that are currently available in plastic kit form. The old Revell icebreaker and 327-foot cutter aren't in the current catalog of either ROG or Revell-Monogram. Lindberg used to offer a patrol boat, but I don't think it's among the kits the newly-revived Lindberg is selling. Maybe the ancient Glencoe (ex-ITC) motor lifeboat is still around. I can't think of any others - other than the various versions of the Eagle. And (as we've discussed several times elsewhere in the Forum) all of them (i.e., the old Revell one and the various reissues of the 1/350 Imai one) are based on the wrong plans. The only reasonably accurate Eagle was the 1/200 Imai one, which has been gone for more than twenty years.
Many, many years ago Hawk made a set of four ship models that were five or six inches long: an LST, a PT boat, a Fletcher-class (well, sort of) destroyer, and a 327-foot Coast Guard cutter. I think I saw reissued versions of them, in Testor's boxes, in a hobby shop not too long ago. But those kits were mighty crude and mighty small.
The Coast Guard manned quite a few Navy ships during WWII; a Revell, Trumpeter, or Skywave Buckley-class destroyer escort could be built as a Coast Guard-manned DE. (Come to think of it, the CG continued to operate a few DEs after the war, in white color schemes. There's an idea for a simple, nice-looking conversion.) Otherwise, I guess the CG modeling enthusiast has to turn to either scratchbuilding or the resin market. There are, fortunately, some nice resin CG ships out there.
Youth, talent, hard work, and enthusiasm are no match for old age and treachery.