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If is ripple at your switching frequency, then it is your switching ripple.
Your output capacitance should be handling this, increasing that should reduce the output ripple.
Also yes increasing inductance will decrease peak to peak ripple current, which also reduces output ripple.
Are your output capacitors placed close to your inductor? Is your lower feedback resistor close to the IC pins FB and AGND?
Larger inductance should be OK, it will just be slower to respond to load transients. Check the load transient response, you may or may not need to recompensate.
