I think a 30 min commute may be pushing it. You might need to consider being a little more flexible or you may restrict yourself too much.
HSBC (retail bank) has a strong IT dept presence in Sheffield - however, some travel to other UK locations (usually London, sometimes Birmingham) will be required, especially for more senior roles. I know someone senior who was turned down for a C-level role because they were Sheffield based rather than London based (at that level, face time with the Gods in London Global HQ matters). I also know someone who now commutes from Wakefield to London for 2 days a week as he couldn't find an alternative senior banking IT role in Sheffield or Leeds.
HSBC also have a presence in Leeds with First Direct. It's like a big aircraft hanger and you have to either drive or get the (free) staff bus from the train station. The staff bus journey time alone will almost hit your 30 min limit though.
Then there's HSBC (retail again) in Chester in the M&S office. This is more branch focussed (they even have a pretend branch) rather than IT, and of course there is M&S Cards here as well.
And finally for HSBC, the UK retail bank's fairly new HQ in Birmingham. A lot of hiring took place here when they started but that seems to have calmed down now.
I'm not sure if either of you have HSBC experience but they really like contractors (or perm staff) who've worked for them before, mainly because they understand the politics and speak the lingo. It's perfectly feasible to be Yorkshire based if you work in the retail bank. But pretty much impossible if you want to work in the investment bank. Commercial banking and private banking are also more London focussed.
Barclays at Radbroke Hall (Cheshire) has already been mentioned. Again there is a fair amount of travel between Radbroke and the London office so be aware of this. Barclays also have a small office (2-3 floors) in central Glasgow and I believe they have an office in Birmingham (but I've never been....it might be an urban myth lol) and also Edinburgh (another possible urban myth!). Same comment about travel to London as previously, espeically for more senior roles. Someone I know who had a senior role used to pay for her own flights (and hotel) down to London every 2nd week. She built the cost into her contractor rate but she was obviously on a good rate as she was super-senior (and highly rated).
Hope this helps a little in terms of where to consider for work locations.