I use a hood/neck cover in combo with the rug because I have a white horse and I compete through the winter. The key to reducing a winter coat is not only early blanketing but light control in the barn.
If you really want to lessen the sweating/cooling out time, you may want to consider a trace, blanket or strip clip. These offer cooling effects without removing the whole protective coat. If you do clip, then you def want a hood.
My only dislike about hoods is that I've noticed Primo's mane is thinner. Though if your horse has a really thick mane... this could be a good thing.
If your horse says no, you either asked the wrong question or asked the question wrong
And God took a handful of southerly wind, blew His breath over it and created the horse