A eulogy is a speech or piece of writing that gives high praises about someone that has just died. I think a key piece of inspiration for Macbeth's eulogy can be found in act 1, scene 7. It is in this part of the play that Macbeth has convinced himself that he is not going to go through with the murder. Lady Macbeth eventually changes his mind through insults to Macbeth's manhood, but the scene does have Macbeth stating a few reasons why he should not kill Duncan. One reason is that Duncan is Macbeth's guest, and Macbeth basically says it would be bad form to murder his guest. Additionally, Macbeth does highlight a few positive traits about Duncan:
. . . Besides, this DuncanHath borne his faculties so meek, hath beenSo clear in his great office, that his virtuesWill plead like angels, trumpet-tongued, againstThe deep damnation of his taking-off . . .
In composing a eulogy for Duncan, it's important to acknowledge what Macbeth's aims would be in delivering the funeral oration. Having usurped the throne, Macbeth needs to confer legitimacy on his wicked, murderous act of treachery. So any eulogy should be more about Macbeth than about Duncan. Macbeth can speak as many flowery words about the slain king as he likes, but ultimately his eulogy should be concerned with consolidating his newly won power.
To that end, Macbeth would need to stress the continuity between his reign and Duncan's. He'll need to reassure his new subjects that he does not represent a radical break with the past and that his nobles' lands and lives are not in any danger. Macbeth must drive home this point by emphasizing his closeness to Duncan, how he performed heroically and courageously on the field of battle in service to his king. He also might like to mention that Duncan was so incredibly grateful to Macbeth that he rewarded his extraordinary feats by making him Thane of Cawdor. Again, it's important to emphasize that, although the eulogy is nominally about Duncan, in substance it should be concerned with burnishing Macbeth's credentials as king.
Macbeth both respects and fears Duncan's power and strength of character. In fact, these contributing factors worried Macbeth the most as he contemplated Duncan's assassination:
Besides, this DuncanHath borne his faculties so meek, hath beenSo clear in his great office, that his virtuesWill plead like angels trumpet-tongued against
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Will plead like angels trumpet-tongued againstThe deep damnation of his taking-off; (I.7.16-20)
Macbeth recognizes that Duncan as the rightful king is noble, humble, and virtuous, even fearing the retribution of angels for killing a man with so many admirable qualities.
In Macbeth's eulogy, consider how Macbeth would want to honor the fallen king, drawing attention to his many virtues. He might also want to make a point of calling for justice in the king's death, with a declaration that the murderers have gotten what they deserved (remember he attempted to frame the king's servants as the murderers). Macbeth in his soliloquies definitely liked to use large amounts of imagery and metaphor, so perhaps you could have him comparing the fallen king to something noble.