I (and from past threads, several other members) find that it helps to process Delta 3200 at the recommended times for the next speed up (i.e. shoot at 1600 process for 3200, shoot at 3200 process for 6400, etc.)
A dev like DDX will help to minimise the grain, but if you're working with 35mm I wouldn't set your hopes on huge enlargements.
If the available light will permit an acceptable shutter speed at 1600 ISO or less then I'd take advantage of it, but the stock is cheerfully usable at 3200 (some people even shoot it at around 20,000!).
Best of luck, and post your results!
Frank