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Go for a stainless steel case. Gold-coloured coating tends to be thin and prone to wear, exposing the base metal. 5.25" is very slender. My guesstimate - 30mm-32mm would look right on you. (For ref, my wrist is 6", and my dress watches are 32-34mm, whereas my sports watches are 34-36mm.)

Seiko/Citizen make ladies' watches in suitable sizes, and Seiko Solar/Citizen Eco-Drive movements would save you a lot of trouble. Get on the 'Bay, and you'll see plenty of options within your budget.

Here's one with sapphire crystal, EW1560-57A. $120.