Transimpedance amplifier with decompensated op amp
Increasing Rin will reduce your bandwidth - the division in current is between Rin and Cd.  You're right in that it will improve stability.

To get good performance I would recommend reading the book by Phil Hobbs.  You can find out more at his web site. (http://electrooptical.net

The book by Jerald Graeme Photodiode Amplifiers is also very useful.