Glyn,
What you describe sounds to me like the sort of joint for which I would pretty much without thinking put my hand out for the epoxy glue. This would most likely be a 24 hour variety (i.e. one where initial setting time is around 30 minutes [you will usually find them labeled as 30' epoxy] and where the epoxy has gone off fully after about 24 hours), as the final bond will be stronger and less prone to turn brittle than is the case with the instant grip varieties ("5 minute epoxy"; "rapid epoxy"
. It also gives you a longer time to adjust everything to your liking before there is full grip in the joint, but on the other hand you do ideally need to be able to apply pressure to the parts for 24 hours, too.
I also prefer to buy two-bottle system epoxies, rather than the self-mixing syringes that you find in DIY stores, and then mix what I need by weight; it comes out much less expensive, and also I have found that the longer setting time epoxies are harder to get hold of in syringe form.
Any excess glue can easily be wiped off from the joint edges with methylated spirits, provided it hasn't yet set and – important! – on condition that the surface you are wiping down will not react to the spirits (some acrylic paints for example might start to dissolve).
Mattias