Q. Is the handling of Himalayan good for a 5 feet 8 inch rider?

Might be a bit hard. only 1 leg will reach the ground. in traffic it'd be a pain, but in highway it wouldn't matter much because once you are upright, Himalayan is more stable than any other bike. though gaping and waving can be a bit harsh due to the longer wheelbase. but it is up to you for as to which purpose are you buying this bike?

Himalayan's seat height is only 800mm. It looks very tall but is one of the most easy-to-ride machines in India. In addition, the seat is narrow, so your thighs will not be spread too wide making it easy for your feet to touch the ground on both sides.

Himalayan is amazing bike for adventures and long travels with roads, off roads or even No roads. Handling for 5'8' is perfect bro. Go for it.