Nag tibba is a weekend trek and can be done in any season or month, If you are a snow lover and want to witness snow or want to do a small snowy trek then do this trek in Winters ( December or January or  February).  The trek can be done in 2 or 3 days.

Season	Month	Temprature Max/Min ( in Celsius)
Pre Winter: cloudless and pretty	November	11°C / -4°C
Winter: Snowfall occurs and can be witnessed towards summit	December	7°C / -7°C
	January	5°C / -8°C
Winter : Transition to summer, Snowfall can be seen on the track from basecamp to summit	February	8°C / -6°C
Summer: Pleasent weather	March	13°C / -2°C
	April	18°C / 2°C
Summer: Hot and humid	May	21°C / 6°C
Pre monsoon	June	19°C / 8°C
Monsoon : Rainy season	July	16°C / 8°C
	August	15°C / 8°C
	September	15°C / 6°C
Post Moonsoon	October	14°C / 2°C

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Source: https://www.ncdc.noaa.gov/