Is latex paint safe to use for my situation?

[GrifTheGreat]

Latex paint would be bad. When using rubber gloves to handle your frogs you must use non-latex gloves so latex paint is a no.

Edit; I just saw where you said exterior. Sorry. Well there will be fumes since most paints contain styrene which is quite toxic. It aid in the drying process as it evaporates. You would be better off to keep the frog in another tank until the paint drys. You will need to keep them in another room away from the drying paint. Frogs are extremely sensitive and it doesn't take much to cause death.