I'll respond to Riov real quick while I'm still going over that inquisitor archetype.
The witch spell list has some blasting in it, but you have to look. It's not categorized by spell schools. The blasting spells are in there, but it's more like a couple of spells per level than the numerous options the wizard has. Some of the blasting spells are a little different than your standard fireball, too. Although you may be leaning toward the Elements patron specifically to gain access to Fireball. Winter is another good option for doing up the blasting, so long as you don't mind being heavy on the cold-based damage. Vengeance is another good one. If you pick winter, consider looking at the
Winter Witch archetype.
There is a hex that allows flight, but it doesn't get to actual full-on flight until 5th level (when the Fly spell would become available). It's a little more flexible than the Fly spell in that you are able to break up your flight time into multiple smaller segments. The Flight hex does not require a broom, but you should consider it. Because witches fly on brooms. Maybe some other household object, if you prefer.
There is a Fly skill. It's not impossible to fly without the skill, but you sound like you should be good at it.