IMHO go with the TI unless you are only building one unit....
The Maxim part you will be able to get a few of now, but you just try getting a few hundred in a year or so, there is a reason folks are reluctant to design their stuff in unless you are buying many wafers worth on 6 months lead.
I have been burned far too often by muppets designing in Maxim, yes, I know they have some unique and interesting parts, just say no!
I will make a partial exception for the jellybean RS-232/485 stuff providing there is a pin compatible second source.
It is a pity, but the business model seems to be to occasionally run a wafer of the obscure stuff to provide ready sample availability and then only run production quantities if someone places an order large enough to warrant it.
I suspect that anyone who has been around a few years has probably been bitten.
Regards, Dan.