He may someday be able to do trail rides with you IF you get a long, loose leash for him, but being a Bloodhound, his nose will likely ALWAYS rule the day when he gets a whiff of something worthy! But at least, if you're on horseback, you'll have the added ballast of several hundred pounds of horseflesh that he'd have to tow - less likely he'd be able to drag a whole horse AND human than a human alone!

Obedience classes will be great for both of you, even if he's sometimes the most stubborn student in class - he IS a hound, after all. Those soft ears and doleful eyes make up for a lot, don't they?