It sounds like a practical nightmare to stack 3 verticals. I appreciate some people are into this simply because you can, that's fine of course, whatever floats your boat.
Would it be significantly better than a Gain Master on the top of the pole in practice ? Or an extremely well set up high quality 5/8 wave ? Or a 3/4 type ?
Seems like 3 x as many potential issues as well. 3 x the coaxial losses.
5.4dB ?
http://www.dx-antennas.com/Stacking.htm
I would not bother myself (but that is me of course and you are not me) and put a nice omni up top with superb coax and spend time ensuring the VSWR was the lowest obtainable.
As an aside and I quote from the above article:
"In my case I still need a few of those Pacific DXCC so the best solution for me would be: to place a high big single yagi and put my money more in the height of the antenna then the antenna it self. (according the ARRL the main angle under which pacific is coming through is around 2 degrees, Europe is around the 20 degrees for me and Africa about 10 degrees.) I've I was a contester and participated in a African contest a stack would be a better solution for me."

Interesting to note that DX can be coming in at a mere 2 degrees...wow...almost directly at the horizon. That is when a clear empty sight line between the horizon and your antenna is going to pay dividends. I would focus on using an antenna that can see that aperture. A very good omni, well set up, at great height (you have good mast height) may just well see that. Given what I have managed myself on a £100.00 Chinese 10-12M radio I would go with a Gain Master, that antenna works the longest DX distances extremely well even on one of the cheapest HF radios you can use.
For all the theory, proof of the pudding is in the eating.