Given your criteria, the following will be fine:
S1
Some of S6, S21, S36
S7, S8, S10, S11, S17
These would be fine but not really Sheffield city S18, S32, S33, lots of S40/41/42.
Avoid S2, S3, S4, S5, S9, some of S12.
Other areas are Eastside and a pain for the Peak District.
Handy map here:
http://www.blundells.co.uk/search.asp