I think the coins in the top ten market capitalization are stable coins, you can choose to hold RIPPLE, ETH, DASH, XMR. As long as you have enough patience, holding these will always bring you benefits.
Not necessarily in the top ten of coins stable. There are more stable. Such as Verge, Bosscoin and many others.
Verge has had been through a rough ride last year and there was some rumours about the data breach which caused a lot of damage to verge as it lost the trust of investors but I can term ethreum as most stable coin.