There are plenty of papers, if you head over to http://adsabs.harvard.edu/abstract_service.html" and search for papers by some of the following authors that should get you started, then play follow the citations...
Treu, T.
Brewer, B.
Marshall, P.
Bartelmann, M.
Clowe, D.
Braduc, M.
That's just a random sample of some lensing people that came to mind, let me know if you don't find what you are after.
As a brief comment, I don't think there are any large catalogues of lens profiles as measured by strong lensing that are public, simply because the process is tricky and highly dependent on how you model various aspects (such as assuming a functional form for for the lens mass profile and/or the source light profile). Entire papers are usuallly devoted to re-constructing single systems. None the less there are plenty of results out there and based on what you find, talking to some of the authors of papers might be a good way to get some of the reconstructed profiles in a raw form (i.e. rather than reading from a plot in a paper).
By the way, given the description of your project, you might find http://arxiv.org/abs/0909.3853" recent paper interesting. It using weak lensing (rather than the strong lensing type approach you are talking about) to look at what appears to be a similar kind of gravity model, based on your description. The results are very interesting, although I have some serious doubts about the methodology. None the less it is clearly a hot topic.
Good luck with your project!