Three feet away is not enough light to give you optimum results. It will certainly keep an orchid alive for a while, probably years if you care for it properly, but I doubt it will get enough light to bloom again.
If you can, prop it up somehow using something like a stack of books, a milk crate, or piles of files (they are always in abundance in the government
). Your goal is to get the top of the leaves about 12" away from the surface of the bulb. This will probably look a bit silly from floor level, but the plant will do much better. You are still at the mercy of various factors, including the wattage of the govt. bulbs, if there is a diffuser on the fixture, how much dirt is caked on there, and how recently the bulbs were replaced.
Oh yeah, and stick to a phalaenopsis orchid.
Let us know what you decide! Good luck!