I asked Jabir (Allah be pleased with him) about riding on the sacrificial animal, to which he replied: I heard Allah's Apostle ﷺ as saying: Ride on them gently until you find another mount. (Using translation from Muslim 1324b)
سَمِعْتُ رَسُولَ اللهِ ﷺيَقُولُ ارْكَبْهَا بِالْمَعْرُوفِ حَتَّى تَجِدَ ظَهْرًا