I know it's a bit late in here and gears has to shelve the tire project. Nevertheless, I would like to contribute my 2 cents.
1. The max upgrade advisable on 14" is 185 section. That's what I have opted for on my Dzire.
2. If you plan to go any wider that 185, you need 5.5" rims (LXi/LDi and VXi/VDi come with R14 5" rims. 5.5" is provided only on top end variant)
3. With increase in section width, be ready to compromise on F.E and acceleration. But the car would be awesome in tight high speed cornering and braking abilities. Since the Dzire's tail swings out at high speed cornering, this territory is mostly uncharted. Please keep in mind the Dzire doesn't have it's sibling's handling characteristics.Hence this necessarily eliminates the need for a more wider profile. Looks good I agree, but then you are compromising a lot in the bargain. Also, as others have already said, the suspension problem would eventually crop up. Stick to 185/70 R14, that's the safest bet.