This is the C-Instrument version of Wave:
First of all, play the opening DOWN the octive if you are playing ANY of the head, as this is the Tenor Sax voicing. But it sounds to me that you are really backing up around the vocalist. Now that you have the chords written out, playing around them is the task at hand. The real HARD part is interjecting your lines AROUND the vocalist. This is an art form and changes second to second in real time, so writing out an improve line may not work. My recommendation is to just go to a real book in advance of the gig and practice playing around it OR even better find a vocalist singing this on YouTube and rehears to that recording with these changes in front of you.
Hope this helps and is the idea you are looking for.