TLE and Delayed Dependent Travel

Active-duty Navy conducting a PCS this summer. I am executing the PCS two months ahead of my family to a location with higher BAH. I did not request delayed dependent travel for that reason; I plan on checking in and getting BAH right away. I'll be using TLA as I search for housing.

Question: Can my family still use up to 7 days of TLE at our old PDS? When they arrive, I'll submit their travel claim and the TLE claim. I should already be off TLA by that point.(Not sure if that matters).

I have searched the JTR Chapter 5 but didn't see anything contrary to. I guess the main point is if this is feasible given I didn't request delayed dependent travel.