It would be helpful to know why your teacher advised against student models, which are smaller. Perhaps because they generally lack some strings that you will later need for more advanced literature.
You are tall enough to play a concert grand or semi-grand. The key is knowing where to sit, relative to the instrument.
If price is an issue, consider a used harp, but have it carefully checked out by a trained professional first. If weight is a problem, consider Camac harps, which often weigh less than some other makes of comparable size.
Contact the major harp companies–Lyon & Healy, Salvi, Venus, Camac, Aoyama–and ask for brochures with the specs on their various models so you can compare price, weight, number of strings, etc. Then you can make a more educated decision.