"cramped with" is a perfectly valid phrase in written English.
You can use it to refer to a place that is overcrowded, or has too many things in it. For example, "The small apartment was cramped with furniture."
The treatment rooms are dreary and cramped, with holes in the drywall and collapsing ceiling panels.
The place doesn't appear impressive — the prayer room is cramped, with whitewashed walls and fluorescent lights.
The two women sat down in a dark living room cramped with couches.
Cramped with terror, I sat in the lobby for one, two, three hours, guts churning.
The remaining space in the room was cramped with medical equipment.
WHEELCHAIR ACCESS Everything at street level but cramped, with bar-height tables; accessible restroom.
Cramped with misery, he forcefully suggests a character propelled by disgust at everyone else's fudging.
But my leg muscles instinctively cramped with fear in my first attempted backward crossover step.
The disadvantage of the cage system is that the birds are more cramped, with less space to move, he says.
Conditions were harsh; the cell was cramped, with no natural light and a plastic potty in lieu of a toilet.
Front-seat passengers complained that they felt cramped, with a seat that could not be moved back far enough.
