If you would still like to pay with a paper check, you are able to e-file your return and then send in your check with the payment voucher that Turbotax provides. Just print the voucher (only 1 page), fill out a check, and drop it in your mailbox.
You may also visit the IRS Payments website: https://www.irs.gov/payments to see other payment options including Direct Pay or Pay by Card. You can do any of these after e-filing your federal return.