If the person refuses to accept my gift, should I try something other than forgiveness?
This depends on your goal. Is your goal to reconcile? If so, and if the other refuses to accept your gift out of denial of any wrongdoing, then you need to have a heart-to-heart conversation of the wrong done and the person’s denial of this. Such a conversation may lead, or at least eventually lead, to a genuine reconciliation based on mutual trust. If, on the other hand, your goal for now is to reduce the resentment inside of you, then your giving a gift that is not directly given (such as the kind word about the person to others or donating to charity in the person’s name) is sufficient for a good forgiveness response. Under this circumstance, you need not “try something other than forgiveness.”