Do i have time to be paid due April 16th if I can only get my routing number by April 6th? I'm traveling and its the only day Im available to get that number for deposit

Can’t you find it on the bank’s or broker’s website?  They usually have them posted somewhere.

Yes, if you owe income tax and your return is on hold until you receive your correct routing number so that you can enter it to be directly debited from your account, and you receive the information and e-file on or by the filing deadline April 17th 2018 you will be considered filing on time.

Filing an extension doesn't give you extra time to pay your taxes, just extra time to file it. If you don't think that you will have the information on time, see the link below that explains how to file an extension using TurboTax.

https://ttlc.intuit.com/replies/4164720  

https://ttlc.intuit.com/replies/3301811