your btc won't be delivered unless you pay a fee. 0.0028 btc is too much but your transaction will be returned after some time if you don't pay a fee.
Is sending only 0.00001 btc enough instead of the dynamic fee of 0.0028 btc?
This really depends on the memory pool, when it is/ would be almost empty, you could get a confirm within 1-3 days.
Unfortunately for you, it is currently absurdly high, there's a backlog of over 200k transactions i believe. See
https://blockchain.info/charts/mempool-size?You could try it, but i doubt it that your TX will get confirmed.
I just tried that and it took me only 17 minutes to get 1 confirmation! I basically only pay 0.0000444 btc (around $USD 0.30). I guess because the address sends to 4 different address at the same time, so other people pay more in mining fees.