How do you have a Ring Ceremony during Reception?
I have never seen such a ceremony performed in the UK, so I could be really wrong in this!! As you are already married I guess you could get someone from the Humanist society to officiate a small and simple ceremony where you say a few words to each other, similar to vows, and then exchange rings, the officiant could then say “Please kiss your wife”. I do see why you would want your grandfather to “give you away” but the truth is you are already married and part of the new family unit, you and your husband, so perhaps rather than giving you away your grandfather can simply escort you to your husband.