Ponies/small horses that can carry a taller rider?

Loads of Dales are shown by men. I'm 5ft 6 and ride a 13.2 she's deep and wide but not the chunkiest of chunky fells.
 
Thanks to each and every one of you for taking time to answer my questions! I appreciate it a lot!

It's so typical of me to fall in love with a breed that's close to impossible to find where I live 🥲 I wouldn't mind getting a young horse and wait a few years for them to grow. Actually, I might even prefer that when I think about it!

I've learned today the highland ponies weigh about as much as my 16.2 horse does! That makes it a bit easier for me to understand just how massive they are!
 
I’m 5ft9 and my boy is a part bred appaloosa and is 15 hands. I prefer the smaller ones too! I also had a 14hh New Forest a while ago as well.
 
I started off with a Fell pony as a teenager and sadly outgrew her (I am 5'10"). I then had a lovely NF X who massively overgrew to 16.2! He was safe as houses but a bit of a plod. I then bought an old-fashioned RID who was small and chunky but he also overgrew to 16.2. I now have an Irish cob youngster and you've guessed it, he's overgrown!

If I was going to get another, I'd buy a dales or dales X, as I enjoy getting something a bit different every time - but always with native blood. Personally, I don't feel comfortable on anything below 15hh so I had to think slightly outside the pony box.
 
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