you might try something more suited size wise. red root floater, maybe. might be a good substitute... if it holds their weight. check aquarium forums. put in a pm or 2 to anybody selling floaters that look to be of suitable size. frogbit might be suitable also. i think there's somebody selling those 2 over on aquariacentral as we speak.
you can also try without fertilizer at first (with exception to root tabs). i'd just keep
Planted Aquarium Fertilizer - Home handy in case you see issues (holes in leafs, no growth, algae, etc.). you can test the water you're using (tap water, bottled water, etc.) beforehand also to get an idea what you'd need. i recommend the
red sea fresh lab deluxe as a good starting point. a couple of the tests take a bit longer than the api master test kit but the price is comparable and you get a much better range of tests for your money. knowing is half the battle, lol.
i have dwarf lillies. i think they'd even get a bit big... and wouldn't hold the frogs up. they're also not too good with light... they like it DARK (like in a dark closet with a towel blocking light from coming in under the door almost) ime. just an fyi in case you came across them and thought "well this might work". they are also sold under the name tiger lotus or red tiger lotus. basically adding any light to them (for the most part) makes them very nutrient demanding or dead and like i said... i doubt they could keep a wooden nickel floating for 24 hours, lol.
if you choose to go with all anubias sp. you might not need to fertilize at all and you may actually inherit your resting spots you're looking for. they're very undemanding, adjust to most water params and lighting conditions (except too much light might be cause for algae for submersed leafs), and can emerse and be grown terrestrially. their leafs are very sturdy also.