While any Altcoin is swayed by the overall market, finding an Altcoin with a large market cap and large trading volume should be a good estimator of stability. For the cheap mid-price Altcoins, something like Ripple is pretty stable. For the even cheaper coins, you can never go wrong with Dogecoin.
Even most of those altcoins with the high marker cap were red for some days together with bitcoin. The goal is to find an altcoin where I can hide my money from those dumps. Ripple performed greate this time but I see no guarantees that this coin will do the same at the next time.
I have always been convinced by the NEO that has had such a steady development with the many supporters who have been coming and supporting the development of the NEO in the future. with the ability of NEO is very capable of making NEO as a precious coin in the future and meet the expectations of many people.