I too had to change the tap on my Trillium
. The previous owner had the new tap but had not actually installed it - having blown out the water entry port on the side. So with a new water entry installed (a job and a half trying to come up with something that would fit behind the door of the port and NOT leak) I attempted to install the tap into it's original location.
Obviously the initial install was done without the fridge
in place. After inspection (and questions to this forum) I rejected removing said appliances. Upon further inspection, like Doug, I found if I "lifted" the burner assembly (remove cover grill and then a few screws) I could wiggle my right arm into place - holding the SS nut and lock washer between outstretched fingers and feel for the bolt. After dropping the nut/washer a few times I was finally able to get both of them in place. (I was fortunately alone during this trial;nobody heard what I had to say about the event, nor saw the bits of skin I left behind.)
I didn't actually remove the stove top, just lifted it very gently trying not to strain the copper tubing or fittings. My hand and arm would "just" fit, sorta - no permanent scars.
I never did get a good look at the rest of the plumbing bits down there, so if my sink flies out or the drain hose pops off, I guess I'll find out when it happens.
All the best in your quest!