I use WEST epoxy, with various additives for just about everything. It can normally be suited to any task. They build lots of carbon products. You can find WEST in marinas, and you may be able to get cheap sample packs. You want the 105/205 or 206 glues. Not the 5 minute, etc...

There are a lot of epoxies that will work to some extent. Normally the better the physical properties the more you have to put up with otherwise in areas like cost, accuracy of mixing, potential allergic reactivity, and on and on. Normally stuff that mixes in estimated ratios from a tube, isn't the good stuff, (like JB Weld). However, socketed applications like this one are not that demanding.

Sound like one of the issues you might have is getting the glue in there since you can't completely remove the parts. One way to do that is to use a fluidish glue, like west, either work it back in there or pour it in an adjascent opening, and then let it pool in the areas around the fitting which you will stop up with tape or plasticine, hot melt glue, 5 minute epoxy (just for the dam).

Similarly you want to clean the part first, so swishing some solvent like alcohol in there, and letting it drain and dry well first, would be important.

Another issue is how you will maintain alignment while the materials dry.