I have a show/worker mix... and much as I love Honey, I agree with the previous posts.
Breeders who mix the 2 lines (except for a very small minority who may be doing so carefully for a specific reason) tend not to be the best breeders... they tend to be people who have just gone for an available dog, rather than finding the perfect mate... Honey probably has the worst of both worlds... she's VERY fluffy for a working cocker, but definately has the energy and intelligence of one... she is very quick to learn, but this hold equally true for bad habits, and we had to keep one step ahead of her at all times... we've learned a lot from her (and this site) but things could very easily have gone badly wrong...
It sounds like your lifestyle could suit a working cocker or a show cocker, so I would advice you research different lines - in working cocker lines you find some very different looks... some larger, some smaller, some shaped slightly different... as long as you are happy with the other aspects of a particular line, you may well find a working line that meets your Mum's ideas on looks while giving you an active dog you could do gundog training/agililty etc with.
Just to add - when we got Honey, we had no idea we were getting a worker/show mix... we didn't even know about workers... so you're already on a better footing than we were!!