Hmm. Only thing that you will travel twice the distance to reach Amritsar as against Haridwar. And it would be hot everywhere, more so in Amritsar compared to the rest of the places that you thought of.
If you include Chandigarh as a break for Amritsar, then it makes it similar.
How many days you have at hand would probably dictate that.
As much as I love Manali, not sure it's somewhere i'd take my mother.
How about Amritsar-McLeod-Rewalsar-Shimla-Delhi if you only have 8-10 days anymore travel would be too much.
If I was to drop one and add in Nainital later (as going to Jim Corbett) - would that help from a travel time perspective?
Maybe Amritsar, McLeod, ChandiG, Shimla, Rishikesh, Jim Corbett, Nainital.
Not sure if any better?