Running an Nimh battery in place of a LiPo on a brushless system will have some issues. Nimh batteries cannot deliver the amperage like a LiPo can, and you'll quickly heat that Nimh battery up, as well as experience low voltage cuttofs due to the severe voltage drops. I wouldn't do it.
There is nothing wrong with using LiPo batteries as long as you educate yourself. To keep from damaging them, don't drain them below 3v/cell, and that is easy to do if you set your LVC to 3.6v/cell in your ESC. Storing them long term - nearly all LiPo chargers will have a storage mode to charge them somewhere around 3.7v/cell or so. They are perfectly safe to store.
Usually the only time you see any problems with LiPo batteries is by overcharging or charging/uding a LiPo battery that is old or damaged, and they get hot and vent during charging or discharging in the RC.
Unless there are other reasons you don't want to use them?