350$ indeed act as a big support.
However there is also the 470$ support from a previous bull flag, which correspond to the 78.6% Fibonacci retracement (swing low: 200$, swing high: 1430$, Bitfinex)

Will it hold at this level, it's too soon to know it.
What's more fun would be theorizing about what would happen in case of a complete collapse of Ethereum 😈, maybe this would make some big flow of money to others smart-contract platforms (remember all those so-called "ethereum killer"), or maybe to less flexible but more secure API based platforms like Ardor (shameless shill)?

Personally I'm not into ETH and I have faith in my coins (I also hold STEEM and BTS like you), therefore these kind of horrible scenarios are more divertissement than fear for me.

Have fun trading