Estate pays tax on IRA no K-1 required?

Estate has only IRA of about $30K which we want  to pay the taxes on at the estate level and not via a K-1 distribution it to beneficiaries. (no will and it's in probate now) 

In this case does the 1041 reflect no income distribution deduction just the 

$30 Income - fees  -$2 = $28K taxable income and pays the tax calculated.

Please confirm or advise if when the  cash amount of $28k is distributed to the beneficiaries NO k-1 is issued because it's been paid at the estate level.

Thanks