For lower forward‐voltage options at 5A while still keeping a similar package size, you have two routes:
Discrete Schottky Diode:
A candidate to consider is the SS36 Schottky diode which is rated for 5A at 40V. Compared to other options in this package, the SS36 typically offers a forward voltage drop in the vicinity of about 0.55V at 5A—noticeably lower than the 0.7–0.9V drop seen in some alternatives.
Ideal Diode Controller:
For even lower effective voltage drop, you can consider an ideal diode solution using an ideal diode controller (such as the LTC4412) paired with an external MOSFET that has a very low Rds(on). This solution can reduce the drop to only the resistive loss of the MOSFET (often on the order of tens of millivolts) but does require additional external components and a slightly more involved design.
If you prefer a simple drop-in replacement in the same SMA package with a reduced voltage drop, the SS36 is a good discrete diode option. Otherwise, for the lowest voltage drop while still preventing backfeeding, an ideal diode circuit might be the best choice.
Would you like additional guidance on implementing an ideal diode solution or further details on the SS36?