At this time, it's not possible to remove the banner if you are sending personalized links, but we are actively working on the branding feature (similar to the one in SendNow) that will allow you to replace the Adobe logo/banner with your own.
In the meantime, your options are to send public links from your own email account or use SendNow (you can sign in at https://sendnow.acrobat.com/signin.html). SendNow will continue to work until we have custom branding in Adobe Send.
Hope this addresses your concern.
Thank you for the quick response. I'll go over to SendNow for now