I would like to suggest mineral oil as an excellent way to remove tape. You can spread it on top of microbore tape if you have used that, give it a minute to seep through the 'holes' or 'bores' in the tape and then use the same cotton ball to gently wipe the tape off. If you need to retape in the same place, wash with non toxic baby shampoo to get rid of the oil. Your pharmacy should carry food grade mineral oil.
Three very toxic chemicals that should never be stocked anywhere in a NICU are Tincoben, Mastisol, and Detachol. Always check the MSDS (Material Data Safety Sheet) before using any chemicals on infants in the NICU.
Remember, if you put a chemical on the skin, it can be absorbed through the skin into the bloodstream. The best rule when it comes to infant skin products: If you could not feed the substance to a baby (not that you WOULD feed it to a baby) don't put it on their very thin skin! It ends up in the blood stream either way.
If you use hydrocolloids like the Neobar (for ETT's) and other hydrocolloids instead of tape or under tape, you protect the skin.