You made no traditional IRA contribution. Don't enter one; remove the traditional IRA contribution entry that you described in steps 1 through 11. You can do that most easily by simply deleting the IRA Contribution Worksheet in TurboTax.
Enter the Form 1099-R from TIAA for the rollover from the 401(k) to the traditional IRA. If this Form 1099-R has code G, answer No to both questions asking if this was a rollover to some kind of Roth account. If the code on this Form 1099-R was instead code 1, 2 or 7, indicate that you moved the money to another retirement account and indicate the amount that you rolled over to the traditional IRA.
Enter the Form 1099-R from Schwab for the Roth conversion. Indicate that you moved the money to another retirement account, that you did a combination of rolling over converting and cashing out, then indicate the amount that you converted to Roth. The taxable amount of the Roth conversion will be calculated by TurboTax on Form 8606 Part II and will be included on Form 1040 line 4b.
