Correctly choose circuit decouplers and filters and schematics advice
One of the reasons for an inductor at the output of a regulator is to filter the regulator noise, usually from a switching regulator. The TPS79915 is a linear regulator which should have very low noise to start with, a 3.3uH inductor serves little purpose. Given that,  although heavily damped by the load, it may even set up some resonance in the MHz range with the capacitors, which is undesirable.

In the original schematic, there is a FB (ferrite bead). The purpose of that is probably to block high frequency (10's or 100's of MHz) from either going up or down. Without knowing more about system, it is hard to say how much does that do.

In the range of capacitors that you need, I would be inclined to use all ceramic capacitors. Lower ESR and much longer life. The sizes are not critical, 0603 (or 0805) could be reasonable general purpose sizes.