You could buy a plugin card that provides additional serial ports for your computer to use. NI sells one
here and you can find others from many vendors. You might even be able to scavenge a serial card from another computer in your lab or area, if the port isn't built into the machine's motherboard.
Alternatively, you could move into the world of GPIB (again, you'd need to buy a plugin card for your PC), if the existing instrument supports that interface and you can find a GPIB version of your tachometer instrument. That way, you would have much more room for expansion and you would keep the serial port free for any device that doesn't support GPIB.
And no, you really can't use your DAQ card for serial communication. I know you've received this advice from others here already, and it really is the right advice.
A usage comment: you should probably start a new thread when you have a new question like this. The drawbacks of piggybacking on an existing thread when your topic isn't very similar are: first, it's confusing, and second, the system starts sending thread activity e-mail notifications out to people who are only expecting notifications when there are responses to their question.
Take care,
John