It is permissible to ride the sacrificial animal if necessary
وَحَدَّثَنِي سَلَمَةُ بْنُ شَبِيبٍ، حَدَّثَنَا الْحَسَنُ بْنُ أَعْيَنَ، حَدَّثَنَا مَعْقِلٌ، عَنْ أَبِي الزُّبَيْرِ، قَالَ سَأَلْتُ جَابِرًا عَنْ رُكُوبِ الْهَدْىِ، فَقَالَ سَمِعْتُ النَّبِيَّ صلى الله عليه وسلم يَقُولُ " ارْكَبْهَا بِالْمَعْرُوفِ حَتَّى تَجِدَ ظَهْرًا " .
Abu Zubair reported: I asked Jabir (Allah be pleased with him) about riding on the sacrificial animal, to which he replied: I heard Allah's Messenger (ﷺ) as saying: Ride on them gently until you find another mount.