Yes, the Cherokee themselves are not tied to the Mayans.
Which is why you shouldn't use Cherokee script for a Mayan-themed set. If you want to do a Cherokee set, there's a path to doing that respectfully, but this isn't remotely close to that.
According to legend, some of the Cherokee symbols were modeled after the Latin alphabet, and George Guess had seen English writing, but did not know how to write it.
First, it's not "according to legend." It's "according to historical records from the 1820s." This isn't some sort of story wrapped in mysticism and legend; it was a real and concrete effort by
Sequoyah (George Guess / George Gist would have been a name he used when interacting with colonists, probably not the one he used most himself) to create a writing system for the Cherokee people. It is true that he could not read or write English initially, but he was able to see the value of written language from the European traders. While his efforts to create a Cherokee script system did repurpose some Latin symbols, assigning them to new sounds and syllables, the capital / lowercase relationship was not maintained. There are 85 characters in the modern Cherokee syllabary, and your mono-symbol layout only includes about 34. It's a disservice to the history, the culture, and the writing system.
The Maya is a civilization that disappeared from the Americas, and the Cherokee is also a small language that is disappearing in the Americas. It is thus integrated.
As others have pointed out, the descendants of the Mayans still live in Central America, and
several languages descended from Mayan are still spoken. Cherokee is indeed a less-spoken language compared to the 1820s, but there are considerable efforts to keep it from "disappearing" among the Cherokee communities.
However, even if this comparison was a good one (it is not), it's a rather incomprehensible argument for substituting one script system for another. It would be like advertising a keycap set as being based on Indian history while using Kana or Cangjie sublegends. Or doing a set about Shaka Zulu, but incorporating Egyptian hieroglyphs. Simply being on the same continent doesn't make one language or script system a replacement for another.
I would instead do a bit more research on the Mayan Hieroglyphic Script system, including modern efforts to bring it to unicode:
https://omniglot.com/writing/mayan.htmhttps://www.neh.gov/humanities/2018/winter/feature/texting-in-ancient-mayan-hieroglyphsHowever, I would
not just try making your own keyboard layout based on these hieroglyphs. I would leave that up to speakers and researchers of Mayan-descendent languages (like Yucatec and Tzotzil). The last thing they need is some J. Random Foreigner slapping their ancestors' symbols all over a keycap set without any consideration of how that script might actually be used.