I stay in the 7th and the 2 hotels I stay in most are Hotel Muguet on Rue Chevert and Hotel Relais Bosquet on Rue du Champ de Mars. In an upcoming trip I am spending a few nights at Hotel l'Empereur where I haven't stayed since before Covid. It is owned by the same hotel group as Hoel Relais Bosquet. I've got a room overlooking the Dome of Les Invalides which is beautiful lit at night.
Also be careful that you are on the official hotel websites. I am on both of these websites frequently and yet, the other day I wound up on another booking site for Hotel Relais Bosquet. I knew immediately it was wrong because the picture was not correct BUT if you weren't familiar with the official site you'd not know.
I also was on another hotel website where I've stayed many times before in the same neighborhood and when it got down to booking realized they've changed their policy and now their 3-night special price has the 1st night billed immediately and is non-refundable. I noped out of that pretty quickly.