If you can get the Dremel under the cabinets, that will work.
Bear in mind- this will produce a tremendous cloud of dust. If you have a high volume shop vac, that will help.
As long as the rollers can travel back and forth without a void- or space- you should be fine. On this Dutch Star I'm working on, we were able to get the laminate from under the rollers and the wood will slide under them without an issue. We will not move the slide till installation is completed. Ernie