Hi Alex - I do quite a bit of multi image framing and have been for 25 - 30 years. I used to dry mount as you do, with one matte window lapping just into the collective area of the prints on the outside edge. I used to leave a little less than a millimeter between the images. As you say, the mounting time is where all the work is.
Recently, I've been advised by gallery owners, framers, and APUG members, that dry mounting is not so advisable. It's not considered archival and prospective collectors may not like the irreversability of it. If you do a search in this forum on dry mounting and triptychs (or diptychs) you will find varying opinions about this.
What I've been doing lately, is carefully measuring the prints, determining the edges where I would cut them. I then measure and mark windows in one matte, leaving a little less than a centimeter between cuts (this is measured on the back side, so the beveled edges on the front will be closer together.) Then I cut the outer edges of the matte board so the image is centered. Then I place each of the prints along side its window one last time to double check the sizing (remember the carpenter's adage - measure twice, cut once). The I cut all of the left edges, then all the right edges. Then I cut all of the bottom, then top edges, taking care to skip the "mullions". By cutting the top and bottom last, the pieces coming out of the windows are easier to keep control of.
When the matte is done, I trim the the overlaping edges (and only those edges) of the prints to keep an overlap, taking care to have enough to be covered by the matte. Usually the center image is on top of each side image, and the side image runs under the center one just beyond where the inside of the center window is. Last step is to hinge the prints to the back of the matte. (Mark's web site - the above post - has a nice suggestion about hanging over the table edge that makes this easier.)
This method transfers all of the work from the dry mounting to the framing. I still like the flatness and the closer edges of the dry mounting, but I think the matting solution is probably the way I will do things in the future. If a collector wants a dry mounted image, I'll do one.