You can look for a draft if you think that would suit you but there are some problems with owning a riding draft or draft cross. First is tack, to get anything quality, you basically have to go custom for almost everything; bits, bridles, saddles, reins, etc. Bits especially if you want to ride in more than a snaffle because every single western curb that I've ever seen in draft size has been terrible quality.
2nd is feed and care. Some drafts can eat up to twice the amount of a standard sized horse and hoof care (if you can even find a decent farrier willing to work on a draft) is much more expensive too.
3rd is their physical ability. They are bred and designed for slow steady work...which usually means plodding along at a snails pace most the time. If you want to go any distance at speed, you have to spend a lot of time working up to it to get them fit enough to handle it.
Don't take this like I'm trying to talk you out of it, I just want you to realize what you're in for with buying a draft or cross for your riding horse.
I have 2 full drafts and 2 crosses. I used to ride my purebred Percheron until he outgrew my saddles (he was too green and his trot was too rough to do enough bareback riding to get him broke). I currently ride my Belgian x QH and do everything on him from plodding around bareback and in a halter to ranch work. He's really slow and not agile at all, but he's a sweetie and I wouldn't trade him for the world. Thankfully, my standard sized saddle currently still fits both my crosses, but if my red one grows any more, I'll have to get a custom saddle for him. I'm already talking to some folks about getting a custom bit, bridle, and reins that will work on both of them.
He stands 16.2 and weighs about 1500 pounds (around 1300 when in work and fit)
I also have a Percheron x Paint who I've not had a chance to really start under saddle yet. I've ridden him a couple of times but I just don't have enough time. He's going to have a lot more fire, agility, and speed than my red horse, but he doesn't travel as smooth and he's not as intelligent or willing. He's currently standing 15.3 and probably weighs 1300.