A cat in heat with no ability to satisfy it is a very unhappy cat.

As for cat amusements, there are endless options. There are those padded shelves you can put so that she can climb them all over the walls, and jump from one to the next and claw.

Hanging toys. And replace them from time to time. Little mice to play with. Put something interesting like a catnip mouse inside a box where there is a paw-sized hole where she can try to get at it. They are always more interested if the target is slightly inaccessible.

Shoelaces, catnip, the possibilities are endless. The best is to play with her - drag the shoelace around for her to pounce on. Throw the mice like you would throw sticks for a dog. Play with a laser pointer. They always prefer it when their "prey" reacts and runs away.