I am trying now but seems both Binance,Cex and Bittrex are so overload that they are not fulfilling my orders although I put an order to buy Shiba Inu higher than the original price,still not working so far,damn it looks like all the world trying to get this coin and I want my piece of share too,sticking with Binance as a final result and waiting as they have more trading volume.
If you have USDT you can try to buy it on Coinex exchange it doesn't need any KYC unless if you reach $10k it would ask for KYC.
I traded recently so I'm sure you can buy Shiba there but if you don't have USDT then you can convert your BTC to USDT then transfer it to Coinex.