You are likely getting a bit too fancy
If for example the corner of your jig was a known point in relation to your code for using the jig then just move close to the jig with a cutter of known Dia and use a feeler gauge of say 1mm (or whatever imperial if thats what you use) Keep moving the cutter closer to the part and keep trying to slip the gauge in, when it will not go in then change to step mode and back off until the gauge will go in, set that axis DRO 1/2 dia of cutter plus feeler gauge thickness but as a negative number. For example 10mm dia cutter and 1mm feller then you would set the DRO -6. Do the same for the other axis and you are set.
Reason you want to not move towards the part with the gauge in place is if its a carbide cutter you could easily chip the edge if you go too far, so only back away until the gauge will go in rather than tring to move onto the gauge.
This has taken a lot longer to type than it actually does in practice
There are also edge finders you can get but the feeler method is often just as good if not better, having said that I have an edge finder I made up myself which I use and its very accurate, within 0.005mm.
If you had accurate home switches then you could dowel the jig to the table, do the touch off then set that as a work offset such as G56 then any time you place the jig on the table the dowels will locate it accurately and you will know what the offset is so no need to touch off again.
Hood