I'm about as tall as you are and a bit lighter, so I understand the need of trying to find a holster that fits a slender body build.
I wear a velcro-type belly-band (like the one you see called defender holster on
Gun Concealment holsters, shoulder holsters, leather holster or the NRA belly holster on
Link Removed).
I've had this type of holster for years and it has served me well by hugging my gun closely--attached to me, rather than to my belt or my clothes. It conceals my gun well under my clothes and I adjust it to allow for cross draw. I've worn it under dress pants, dresses, jeans, and cargo shorts. Shirts are sometimes tucked in. (Some of my friends can even wear this holster with shorts and a shirt over which makes it easy for summer time.)
There are variations of this type of belly band holsters and some do have a leather panel on the band to give more reinforcement. I removed the thumb break off mine for ease of drawing--I have no need for the thumb break since this holster is under my clothes anyway and the elastic hugs my gun closely to my body. I haven't had any issue with the gun shifting or moving out. It is comfortable for me--I wear it with my gun for more than 12 hours per day and go every where.
Good luck with your search for a holster that fits you.
- Ceicei