I have a seat tube reaming machine and I am in VT. I can do most modern diameters. Adjustable reamers suck (all low quality junk) and in your case won't work. One size will go 1-1/16" (1.062/27.0) and the next size 1-1/16" + won't really fit in the 1-1/16" hole with out getting "worms" (chips roll into balls and put ridges on the outside surface)
Also, if your seat tube inside diameter isn't over 1.070" (27.2) you will get a very undesirable stress riser (ledge) inside the seat tube causing frame failure. I have my reamers custom made at a cost of about $200 each. You will need a spiral flute for removing material and a straight flute then ball hone finishing.