lady bugs are toxic - period. A general rule of thumb is that orange/black/red combinations in nature are toxic or at the very least taste bad. Most are toxic, others are mimics (e.g. Viceroy butterfly has similar markings and coloration of monarch. Monarch are toxic, so birds won't eat them, but the Viceroy is just "faking" it - it has served it well! Don't ya just love Mom Nature??)
As for getting all those ladybugs...I am assuming you ended up ordering from a garden/nursery catalog/site? Both mantis and ladybugs (among others) are sold as beneficial insects b/c they eat lots of "pest" insects. Mantis will eat ANYTHING, including beneficial insects, whereas LB are a bit more discerning. Among their favorites are aphids, whiteflies, mealy bugs, scale insects, etc.
Many of the marketed LB are an Asian species that were introduced to the US for “pest” control. Well, they have gotten out of control! Here in the north our houses are often invaded by these in the fall as they seek a suitable place to spend the winter. In Asia they go into caves and cliff walls – here, our houses are the closest representation. A sad irony is that some native LB (including NY’s 9-spotted LB) are actually be impacted by the introduced species.
Since you are not going to feed these to any of your herps, therefore you could release them – BUT, my suggestion (just a suggestion – it’s up to you) would be to contact the company you got them from and ask what species they are (though they should have that marked on the container or info) then call your extension office to inquire about releasing. I do not believe they are banned in any state but they be trying to control – or they may say “go for it!”
Here is a site with LB info from the FL Extension Service
edis.ifas.ufl.edu/BODY_IN327
And if you are interest...here is a link to an article about the 9-spot that is endangered. OK, lesson over 
lele
The Decline of C-9 — New York’s State Insect
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0.1 veiled - Luna
0.2 green anoles Jaida & Jetta
0.1 brown anole - Jamaica
0.2 house geckos - Gaia & Tia
0.2 felines - Kyndra and Líta