The agency will always be shifting its human resources to meet workload needs in high impact locations in a state. USDA's Family Friendly tools do not extend to the creation of permanent duty assignments. Geographic reassignments are indeed disruptive, but necessary at times to meet the mission of the agency. My supervisor put me on AWOL when I was absent for three days. I requested LWOP when I returned but he turned me down.
Most workplace issues are grievable.
You may certainly attempt to grieve the denial of LWOP, but be aware that agency policy places you at a disadvantage. The agency contended that while operating a Postal vehicle, the employee was involved in an accident that she failed to report. When confronted, she stated that she did not report running into the concrete wall in the agency parking lot because she did not think any damage had occurred. The MSBP Administrative Judge affirmed the agency's action. The full Board found no error in the Administrative Judge's findings.