So I have been exploring the idea of wave-particle duality and came across and interesting idea.
Could water waves, be interpreted as particles in some context? If so, how would you observe their particle-like properties?
If you interpretate "particle" as a stable pattern in fluid motion, then the analogy between particles and solitons is quite reasonable, for example the equations describing the motion of fluids admit in some situations solitons solutions (for a visual demonstration, see for example 1 and 2).
Nevertheless, I would't consider it a quantum mechanical interpretation of waves in water, at limit it's the opposite as quantum mechanics is physically way more complex (in all senses) than fluid motion (mathematically are both hard).
I don't think this works. If it did, then $p=h/\lambda$ would have to give something reasonable, but it doesn't -- it gives something unmeasurably small. Water waves can transmit momentum (e.g., think of someone doing a cannonball dive into a pool -- there is net outward flow). Even in cases that should have a relatively small momentum transport (a well-behaved sine wave), the momentum transport is not going to be exactly zero, and it's going to be much, much greater than $h/\lambda$.
You'd also have a fundamental problem because the wavelength of a water wave is invariant when you change frames of reference (do a boost), but $p$ isn't. (In quantum mechanics, $\lambda$ isn't invariant under boosts, and this is possible because the wavefunction's phase isn't measurable.)
A body of water does have a quantum-mechanical wavelength given by $\lambda=h/p$, but this wavelength is unmeasurably small, and is interpreted as the wavelength corresponding to the water's center of mass motion, regardless of whether there are surface waves or not.