I am assuming that you plan to document the vessel. If you don't plan to document, you're subject to state law (and many states do not require boat names or hailing ports at all so you can do whatever you want).
At the stern, we had home port on the propane box and boat name on the transom above; even with a dinghy, this technically appears to comport with USCG requirements as it is clearly visible outside the hull (the regs don't stipulate clearly visible from a particular distance, and I couldn't find clarifying case law) -- 46 CFR 67.123. We also put the dinghy name and hailing port on the bottom of the dinghy, but that was more for aesthetics and might be overkill.
Adding it to the dinghy bottom was only an additional $150 or so (incl. install), so it seemed like a good belt-and-suspenders approach. Prisma in Seattle does great work and is affordable ($1000 for the entire job, which was text plus a ship's graphic/logo we designed).