Mexico is Euro-Latinization of Mehika(or a variation thereof depending on who you ask).But what I had in mind was something of a Dutch-tinged pronunciation and spelling of Mehika.
Technically the Aztecs were the Meeshi'ka' with the land being Meeshi'ko - [ee] being a long e similar to "air" and ['] being a glottal stop.
These are written Mēxihcah and Mēxihco in latinised Nahuatl since [x] was a "sh" sound in Middle Castilian.
The Dutch could probably have written it Meeschitko perhaps latinised as Meschitcovia?