I'm sorry you'll not be doing a roll-your-own.
Watch out for the LM2941's output-capacitor limited esr stable region (datasheet fig 13). We even make a deal about it in AoE III, see Fig 9.27, page 617. It's pretty limited at low currents, only a 10x range. What happens when you innocently add a ceramic bypass cap or two after the regulator? Can we count on electrolytic esr loss to damp any oscillation?
Maybe you'll find out!