Synonyms of 'nevertheless'
She found him physically repugnant, but she nevertheless agreed to marry him.
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You use however when you are adding a comment which is surprising or which contrasts with what has just been said.
Some of the food crops failed. However, the cotton did quite well.
If you say that someone did something regardless, you mean that they did it even though there were problems or factors that could have stopped them, or perhaps should have stopped them.
Despite her recent surgery she has been carrying on regardless.
Thesaurus for nevertheless from the Collins English Thesaurus
You use nevertheless when saying something that contrasts with what has just been said .