Many variations are possible depending on the allowed manipulations. Here are some examples, assuming only letter rearrangement is allowed:

• Anagrams: Many anagrams of "Nayomoka" are unlikely to form pronounceable or meaningful names. The letters don't lend themselves easily to common name structures. However, some possibilities (though not necessarily good names) could be: "Amonyoka," "Kayooman," "Omaykona."

• Partial Rearrangements: If we allow for keeping some letter sequences intact, more options emerge. For example, we could keep "Nay" and rearrange the rest: "Naymokoa," "Nayokamo," etc. Similarly, we could keep "oka" and rearrange the beginning: "Okanayom," "Okamoyan," etc.

• Phonetic Variations: While not strictly scrambling, we could consider phonetic similarities. For instance, if we allow for slight sound changes, we might consider names that sound similar but use different letter combinations. This would require a more sophisticated algorithm beyond simple letter rearrangement.

• Adding/Removing Letters: If the tool allows adding or removing letters, the possibilities expand dramatically. This would require specifying allowed additions or deletions.

To get more specific and useful results, please clarify the rules for name scrambling (e.g., can letters be added or removed? Must the scrambled names be pronounceable? Are there any length restrictions?). With more constraints, more targeted and helpful suggestions can be provided.