Which hotel would you chose ?

I don't know either of the ones you mention.
What are you looking for?
Historic or trendy?
Is cost a factor?

Windsor Court is the best.
Ritz is nice.
Intercontinental is good as well.

My parents just stayed at the Wyndham Canal Place and
A friend just recommended the Wyndham Whitney on Poydras

I like the Monaco - leopard print bathrobe-kind of feel.
I often put up witnesses at the Queen and Crescent.