I think these are acceptable. However, I don't see any reason to put "odd" in inverted commas.
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AnonymousWith all of that said, a strange feeling, unlike anything I have experienced before, does have me feeling 'odd'.With all of that said, a strange feeling, unlike anything I have experienced before, has me feeling 'odd'.I don't think these sound natural.I prefer the second sentence. Also, consider using "that said" or "that being said" instead of "with
AnonymousHey thanks! Do I really need to use BEFORE in that sentence?No you don't need it. It's optional.