You do understand hyperbole to be great exaggeration I assume. That is what we need to find, instances where a person argues something that really seems to be not true, or at least beyond the scope of reality.
The greatest instance of hyperbole that I see in Sonnet 29 occurs in these lines:
Haply I think on thee, and then my state,
Like to the lark at break of day arising
From sullen earth, sings hymns at heaven's gate
Poetry is difficult, so let's talk translation first: He's thinking about his girl after he has been depressed about some features of his own existence. His "state" he refers to is sadness and thoughts of her raise him so high out of depression that he sings to God his thanks. My guess is he's just sweet talking the girl. I don't think he really rose as high has heaven and sung to God. Just a guess. This would be an exaggeration.
Furthermore, in the last lines, he utters that because of her, and his great fortune to have her, he would never change his station in life:
For thy sweet love remembered such wealth brings
That then I scorn to change my state with kings.
What man says he's happy to be poor and depressed? Shakespeare in love, that's who. That is a serious exaggeration. If he had the chance to do better with employment he would do it.