Got the components from mouser and had some success with the smaller inductor.
Took the inductor off. A view of the components under the inductor. There was some thick thermal paste under the inductor. It looks like that R040 is the sense resistor.
This is the inductor I chose. Best one I could find under 2mm height. The driver fits in the SD2 now. 
I also replaced the R040 with an R047 to decrease the current some. Unfortunately the output current was still nearly 2.6A. Seems like that should have decreased the current, right?
Efficiency with the high mode decreased to 85%. I think I will be able to heat sink the inductor enough so it shouldn’t overheat I hope.