Paint is absolutely the worst thing you could possibly do.
No VCT tile will ever stick to a high moisture floor. The one
exception to that would be use Fritz adhesive - very expensive and
may not be available to consumers
Water problems need to be solved on the outside. Underfloor water
requires subloor drainage and sump pump work.
The radiant heat I know about is buried in or under the concrete
floor, you must be talking about something else.
There is one product you may be interested in finding. It grows
crystals in the voids in concrete in the presence of water. It is
the one product I would spend any time on in an attempt to seal
leaking concrete from the inside.
Keep the whole world singing . . . .
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