You may want to consider an REAL epoxy floor, not epoxy paint. Do not buy the cheap crap at home depot, buy a good two part INDUSTRIAL epoxy from Ben Moore or Sherwin Williams. Do not buy epoxy paint! This floor will encapsulate the asbestos and will not wear down over time.
Or, seek out an epoxy floor installer in your area. You can have a flat color, a flake or broadcast finish in the color/s of your choice. An epoxy broadcast floor will last your lifetime without issue.
Sunflex is a poured rubberized floor that will expand and contract with weather and age. You would need to find a contractor for this too. Goldenlook.com could point you in the right direction. This floor would be more money than epoxy, but it would never crack.
Since your basement is not exposed to UV, the longevity of an epoxy or Sunflex floor is considerably lengthened. If you have a water issue or hydrostatic pressure, encapsulating is not advised. Removal of the tile is.
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