To add to Oxford Blue's comments, the higher frequency of TACANs means that the equipment can be smaller and more easily deployable in the field. Some photos
give an idea of the difference in size.
My understanding of the history is that the Victor airway system in the US was designed after a compromise: the military wanted TACANs for the reasons stated, the civil authorities wanted VORs because of the lower cost of airbrone equipment. The compromise was the VORTAC, a colocated VOR and TACAN facility of which all parties can use the DME element.
By contrast, in the UK, because of the location of military airfields outside the airway structure, the civil and military went their separate ways. I don't think we have any VORTACs in the UK, though the TACAN route chart in the AIP suggests that SAM, MAY, DVR and LND are part of the network, so may also have TACAN equipment installed.