If you want to give out a net amount you have to start with a higher gross and fiddle with the amount to factor taxes. Bonus pay is subject to FWT, SS, Medicare, FUTA, SUTA, state and local income.
You can cut a check without taking out taxes but you would still have to submit their portion of taxes as well as yours.
And the IRS requires a flat 25% withholding on bonus pay, which few employers probably comply with, instead allowing recalculate on of tax as if the pay with bonus were to be the annualized rate- meaning possibly more tax is withheld than required by law in some cases, and less in others.