I have used Delta 3200 film a couple of times for indoor photography without flash in dim situations. It provides quite good results up to 5x7, I have never tried to enlarge larger than that.
I shot the film at EI 3200, and had it lab developed in Xtol chemistry, 35mm roll.
Delta 3200 can be pushed as far as EI 25,000, but Ilford recommends making test exposures before using it for anything of value.
Kodak Tmax 3200 is also pushable all the way to EI 25,000, and I suspect a high speed developer such as Diafine could be used (or is it Acufine, I can never remember) to extract the most out of these speed monsters.
On a number of occasions I've also used HP5 pushed to EI 1600, and to me that looks much better than the Delta 3200. I still don't enlarge it larger than 5x7 though.
Also, I don't know what kind of lens you use, but you may be well served by trying to find a lens with larger apertures, so you can use a film of lower speed and subsequently finer grain.
- Thom