I guess:

1) Keep an alcove.
2) Starfleet develops her a more modest solution, which has the main ingredients but maybe suits a more normal bedroom setting.
3) She transitions eventually to normal sleep as her body takes over, with or without medical assistance.

I'd like to think #3. In a controlled environment, they basically wean her off.

Wears something similar to the mobile emitter in size and portability - a discreet medical device which enables her to sleep anywhere she wants/has to. After all, what's one more small bit of tech after so many?

Now that you mention this I don't believe it was ever brought up in her PIC appearances nor did I even realize it at the time. The power of plot sustained her.

(Waves crucifix) "The Power of Plot Sustains You! The Power of Plot Sustains You!"

"Your mother chews scenery in Hell!"

(Gasp) "My mother was an actress!"

"Don't listen, a producer's blighted soul possessed her."

"The Power of Plot Sustains You! The Power of Plot Sustains You!"

What did she use in Picard?

iPhone plug.

iPhone plug.

the new Apple iCove.

What did she use in Picard?

Batteries. They worked for Jurati, didn't they?