Only go to a qualified, experienced Ilizarov surgeon, and as an added measure go to one who is well known in the field. There are many surgeons who will play off of someone's desires and perform surgery on him knowing full well that they don't have the appropriate medical expertise to be doing so. I suggest going to someone other than Dr Sringari for this. Sringari is trained in joint replacement primarily. Joint replacement surgeons get a basic understanding of Ilizarov but they do not have the years of super-specialty training that Ilizarov surgeons receive. Putting on a frame isn't simply sliding the rings over and drilling holes everywhere. There are many complications that can happen with this surgery. An Ilizarov expert will have experience with these complications and know how to treat them in a way that a joint replacement surgeon could not.
If you are going to be in Delhi, Dr Manish Dhawan is the one to meet. He's actually consulted some former patients of Dr Sarin who got messed up, and when I had my consultation with him I was impressed with how up front he was about the surgery. I think he'd be a good choice to consider as I almost decided on him.
Dr Shah and Dr Parihar both have trained under Paley (Shah even training under Prof Catagni in Italy) and have other credentials to show their experience with Ilizarov, so it's good you're seeing them. Although I haven't any experience with Dr Shah beyond my consultation with him, the user crimsontide went to him to fix the equinus contracture he developed and reported back with a positive opinion about Dr Shah.
Dr Parihar has been great so far. He and his staff have all been more than accommodating and he's always given me as much time as I needed during my checkups, so I can see where his positive reputation comes from.
I think Parihar, Shah, and Dhawan could all be good options for you depending on what you find important. Meet them all in person at least.
Also, patient diaries can be a great resource but it's best not to automatically discredit a doctor who doesn't have a patient diary. Especially considering some diaries leave out important details intentionally or are outright faked (Phantom). Best way to decide on a doctor is through a one-on-one with all the doctors you're considering. Consider how they treated you during the consultation, if they gave you time and answered questions thoroughly, if they warned you of the dangers, how much they talked about money during the consultation, etc.