Jimineer,
TX DPS would not be programmed as a TSYS (trunked system). It is conventional. There has been some discussions here that (eventually) DPS may move to a semi-statewide trunked system, but that is not even on the funding map as yet. Perhaps that's what misled you.
What you need to do is enter the frequencies you want as conventional objects. You need to enter both the base frequency, as well as the mobile. Unlike most of the other agencies (for example, Richardson), DPS often operates in duplex mode. The base transmits on one frequency, and the mobile answers on a different one. You most have both frequencies programmed, and also be withing range of the mobile, to hear both sides of the conversation.However, they are also capable of operating in repeater mode (like Richardson, Dallas, and most other systems). When this mode is used, you would hear both sides of the conversation on the same frequency, that of the base.
As always, there's an exception. For units out of normal range of the dispatch office, communication is made through a mobile repeater. One nearby example is Denton. The troopers also frequently use the sheriff's office frequencies where they are assigned. Also, radio traffic is much reduced now, due to widespread use of MDT's in the cars for routine traffic.
The regular DPS frequencies are all digital. Enter them as conventional objects, Squelch mode
NAC and then enter the NAC code shown.
For the units assigned to the tollways (PGBT & Dallas North), those are also conventional, but not digital. Again, a conventional object, 155.445 for the main frequency, squelch mode
CTCSS, and enter the PL tone, which is 107.2.
Are you using software, or programming manually?