Yes! There is!
Small non-lethal captures (probably will not escalate to war):-
- Capturing Charding-Ninglung river valley, which puts pressure on PLA Demchok garrison apart from land grab.
- Pushing forward through Ane La pass which is kinda a backdoor to Pangong Tso, threatens cutting-off PLA access to the whole northern Pangong Tso in the future.
Larger captures, which will surely result in war: -
- The below area, which is the gap between Himachal Pradesh and Ladakh. Chinese control is weak in this area, and Chinese access to the area goes through two mountain passes (marked in red).
A Two-pronged attack from Himachal Pradesh's Sumdo and Ladakh's Demchok can cut-off these mountain passes, denying Chinese access. An insignificant amount of Chinese infrastructure will be a turkey shoot for the air force.
In fact, 2 mountain divisions will be enough to capture this area.
- Capturing Chumbi Valley in Sikkim, much-discussed, and China fears the same, hence heavily protected. We will probably face huge casualties but it is strategically very crucial.
Yes, so armour actually traverses through the river valleys you marked in blue. In a shooting war, we will be at a disadvantage because they can mount a multi-pronged attack, as you suggested. But if the shooting war starts, we are opened with a plethora of other options (like opening another theatre where we have the advantage).
If China is still reluctant to use firearms, we can just wrestle control using aggressive posture and hand-to-hand combat.