I live in South Cental Texas, and I can tell you what most of the Sheriff's Offices around here pay...since thats mostly where I am applying.
Hays County = bit over $40k
Fayette County = $38,500
Travis County Constable's Office = bit over $43k
PDs around me, salary taken from their website:
Austin PD = $52,374
San Marcos Police Department = $46,000
San Antonio Police Department = $44,136 - $60,120
Have any idea where you would like to settle? Panhandle? DFW? Houston? Central Texas?