Madhavi

I think your case is more complicated - especially if you haven't met your husband before the marriage. I remember when filing for either spouse or fiance visa (k3/k1) they asked for circumstances of if you have met each other before marriage and all that.
If you don't have evidence to prove that, I think there is a strong possibility they will consider this marriage as fraud and done for immigration purposes.
Just make sure you have that covered for whatever visa you chose to apply for like pictures, emails, affadivits of people who know of your relationship (preferably non family) and who were there for the ceremony etc.
Because of that, it is better to just file for your marriage in India and then file for a K3. Just because I don't think you should risk the whole fiance route especially when you weren't really engaged or had a courtship period.
I had a similar dilemma. My husband is American and I am Canadian. After our courtship for 8 months we got engaged. We weren't sure if we should go through the fiance route to go to the US or the marriage route. Our friends who went through similar situation recommended K3 route to us. So we got legally married in Toronto - a small, intimate family ceremony and applied for a K3. We are doing a full Hindu marriage ceremony later this year. So according to the law, we are married and we use that in all our forms. But our formal religious marriage ceremony is only later this year.
Hope that helps and good luck!