I think that would be an alteration of the license and therefore illegal. I wouldn't do it given that your state already put limitations on your license, you wouldn't want to ask for unwanted attention, if, let's say a cop stopped you. I would live with the Limited Terms.. way better than the No Lawful Status.
http://studentlife.tamu.edu/scrs/sls/Penalties
Possession of a driver's license that is fictitious or has been altered is a Class A misdemeanor. Class A misdemeanors have a possible punishment of one year in jail and a $4,000 fine. This law also applies to possession of more than one currently valid driver’s license.
TEX TN. CODE ANN. § 521.451 : Texas Statutes - Section 521.451: GENERAL VIOLATION
(a) Except as provided by Section 521.452, a person may not:
(1) display, cause or permit to be displayed, or have in the person's possession a driver's license or certificate that the person knows is fictitious or has been altered;
http://codes.lp.findlaw.com/txstatut.../521/S/521.451
__________________
Application Received: 11/19/2012
Bio: 12/26/2012- No walk-in
Approved: 5/23/2013
Cali Service Center
No criminal record, visa overstay