Wondering if I might garner some travel clothing advice- I'm moving my retired pony 200 miles next week using an experienced insured etc transporter. I've always just been a hobby owner and only travelled her 30 mins tops where she just went in the box naked. She did sweat up a lot whenever I've travelled her so I'm wondering if I need a cooler/sweat rug? She's unclipped so full winter coat. Not sure if anything on top of that might make her hotter.