Not great availability, but here's the best I found:

11/22 XNA-IAH-FRA-DEL on United/Lufthansa, 42.5k UA miles
12/20 DEL-HEL on Finnair, 20k AA miles
pay for hotel in Helsinki (~23 hours in Helsinki)
12/21 HEL-JFK/LGA-XNA on Finnair/American, 20k AA miles, ~3 hours to get from JFK to LGA at your cost

You could book DEL-HEL-JFK/LGA-XNA all on one award, but it would price at 45k, so you save miles by separating it. I will note that one advantage of paying the extra 5k miles to book it all together is that AA allows free routing changes. So if something better opens up, you could change it (i.e., something much cleaner like DEL-DOH-ORD-XNA). If you book separately, while changes are still allowed, you'd have to keep DEL-HEL and HEL-XNA as start/end points of 2 separate awards.

Are you sure you want to use miles for this? You're looking at using 82.5k miles + ~$125 in taxes. Round trip 11/18-12/17 XNA-DEL is $1,092 on Delta/KLM/Air India (XNA-ATL-DXB-DEL // DEL-AMS-MSP-XNA) or $1,124 on Delta/Air France/KLM (XNA-ATL-CDG-DEL // DEL-AMS-MSP-XNA).