Don't be put off by the phrase 'novice ride', it doesn't necessarily mean it is a plod, but that it should be safe and bombproof safe (although some will be plods!).
I probably won't ever buy another horse as I breed and back my own, but to be honest, even as an experienced and confident rider, an advert saying 'not a novice ride' would put me right off, unless I knew the horse rt the vendor, because I just can't be bothered with anything with issues. Again, just because it says 'not novice ride' it doesn't mean there is anything wrong with it or that it does have issues, but there are so many adverts to go through, it would thin them out a bit.
Also, although driving is brilliant fun and I wouldn't want to discourage you from that option, please don't worry about riding a 13.2 at 5'3" - I am 5' 10", here are a couple of photos of me on the 13.2 I've just started this year (the teeny dapple grey:

(riders in this one from 5'6" to 6'1", nothing bigger than 14.2!)



My legs are a bit long on her, but she is brilliant fun.