I can't find a QML version of LP38853.
Any questions regarding QML, JAN, etc (no matter the product type) should be posted to:
TI Home» TI E2E Community» Support Forums» Applications» High Reliability
The parametric selection tool suggests TPS74401-EP, which is rated for 3A, and tagged as being 'Hi-Rel'.
http://www.ti.com/product/tps74401-ep