When I was a widdle kiddy we had a 14 foot woodie that was probably heavier than your tinny. She was equipped with a 3.5 HP Wizard. Obviously, when we went to our beach, or fishing hole, it took a while to get there. Nevertheless, these were the happiest time of my entire life. Here I was, in a boat, living the dream.
When Grandpa traded the old kicker in for a 10 HP twin cylinder (and made the boat plane) I couldn't imagine that a boat could go that fast.
Later in my youth I had a friend with an 18 foot lapstrake fitted with a 75 HP outboard, and it was a downer. He always insisted on going WOT and it was very uncomfortable.
With a young family we had a tinny with a 9.5 Evinrude. It would slightly plane (LOL) but we had as much fun as I did as a youth.
If speed is your requirement, invest 50 or 60 grand and maybe you'll be satisfied. If you want family fun, you'll be just fine.
Prop your motor right and you won't hurt it. Remember, the rule of thumb is that at minimum a boat only needs between 25 and 40% of the rated HP.