Having experienced the awful strobing from my fan, I'd recommend a sloped ceiling recessed light instead of the gimble. These tuck the bulb or lens up into the fixture, preventing light from spilling onto the fan blades resulting in strobing.

Examples:

• Halo RLS4099FS1EWHDMR 4" canless slope recessed light with selectable color temperature. Polar-Ray $75
• JUNO TC926R REMODEL HOUSING / SLOPE: 2/12 TO 6/12 PITCH (9˚ TO 27˚)
• JUNO TC928R REMODEL HOUSING / SUPER SLOPE: 7/12 TO 12/12 PITCH (30˚TO 45˚)

The linked Juno spec sheets include lists of compatible trims (haze cones are really nice). These use replaceable bulbs while the Halo has an integrated LED (and the unusual benefit of a 4" aperture). electricbargainstores.com is a good source for Juno lighting though you can find some Juno products on Amazon.

-- amateur