I have carried all kinds of TQs all different ways both in kit and out of it. One thing that I have found I really like is using a BFG Ten Speed M4 mag pouch with the belt loops. It can be attached to a belt or PALS webbing and I have found that it fits the CAT, SOFTT variants and TMT really well. It allows easy access and deployment with either hand. The only drawback that I have found with this setup is if you take a CAT out of the package and do not refold it to be a little shorter, it can pose a snagging hazard. Another thing I like about these pouches is that I can stuff a pair of exam gloves in with the TQ without adding a lot of bulk. Another way that I stage TQs when in kit is with a piece of shock cord wrapped around my belt at the buckle area to horizontally stage a TQ at the front of my body. It allows access with either hand, is relatively low profile when sitting in vehicles and bending over, and stays out of the way. Just a couple other options if you are looking for solutions that are not just a TQ pouch.