I'm old school, so ctrl+c, shift+end (maybe tweak selection area with cursors if Excel is being dumb) and ctrl+v.
The way I work, it would have been better to mark a cell itself as being a "constant" or "input parameter", so that when I reference the cell it is treated as an absolute reference when pasting.
That is, if I reference cell B2 in a formula and paste that formula in a different cell, it is B2 itself that determines if it's a relative or absolute reference, not the way I typed it in the formula.
It's not a huge deal, but it would be one of those nice things that makes life more enjoyable.
In comparison, I often have formulas with over 20 cell references and/or multiple formulas referencing the "constants", so getting asked for each would indeed be tedious.
Right now I've started a Git repo with a roadmap but I've not uploaded any code yet as I'm still deciding on the architecture:
https://github.com/dotancohen/structuresheet