I say go for the QH or any stock breed. They are sturdy critters! Very patient, level head and forgiving. A shire really won't have the agility to work cattle. Any horse can pull a cart, heck my MINI donks pull me easily and I'm about 220.
Also remember shires (or any large horses) are going to eat more, drink more, poop larger, need XL things. Sometimes tack fitting for a draft can be challenging. They are going to need a larger stall, trailer, etc. QH are also closer to the ground ;).
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