I'm travelling TDY enroute on my PCS.  I have dependents authorized on my orders and planned to stay in a TLF for the duration of my TDY.  However, I have pets and the base i'm going TDY does not have any pet friendly TLFs available.  They say that having pets does not warrant a non-a letter so I will have to kennel them for the entire duration of my 3 month TDY.  Anybody heard of a reg covering this aspect of a non-a letter? Obviously, I do not want to kennel my dogs for 3 months straight.  Is my next best option to decline government quarters and get a pet friendly apartment at the TLF rate?