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That's only rated for 300mA. Yuck.
A 10mm inductor, 1A i_sat, 800mA i_dc. Used at 1.5A--past i_sat--it's only ~140uH.
Are you sure you wouldn't rather use a 12mm inductor?
This 12mm 270uH part handles 1.2A rms, i_sat =3D 1.6A. Cheap. In stock at DigiKey.
Total energy storage (L * i^2 / 2), goes roughly with volume. If you want to store more i^2, you'll need a bigger inductor.
SMD parts don't get all that tall, otherwise they'd snap or shear off.
Or, you could stack up two in series....?
-- Cheers, James Arthur