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Seems you are going in June.Do check for updates of Kunzum la which generally opens at the end of June but last year it opened in first week of june.Spiti is a wonderful place with less crowd and traffic, So you are going to enjoy a lot.Nowadays roads are much better except Losar - Gramphoo - Batal Stretch.For itinerary you can visit my Youtube channel too.
Thanks

Thanks for the info DG bhai! In which part of Delhi do you stay? We could plan up some rides once I get my bike here.

It's better if you plan your trip after mid march as the roads will be clear. There won't be any snowfall but there will be snow all around just like your above photo. Have fun !

We've planned around June/July time. What are the conditions in that season?

You don't need to worry at all then. Just have fun and come back with loads of amazing photos and videos :) Would love to see your clicks