Cat peeing and pooping everywhere and wants to be outside all the time?

Sorry, this will be a long post since I want to give all the details to see if anyone will have any advice.

I have an exotic female cat who was indoors only for the first 1.5 years of her life (she is 2.5 years old now). She is spayed. When we got her from the breeder she was 12 weeks old and has always been a really good behaved kitty. We lived in an apartment and she never had any issues. She would let me trim her nails, give her a bath, clean her face daily with no problem. We would let her out on the balcony when we were there and she always wanted to go to out.

But then we moved to a house with an enclosed backyard and my mom stayed with us for over a month where she was home all day and started letting our cat outside. Abby (our cat's name) loved it and was really good about going back to the house in the beginning. But she now wants to be outside all the time, and cries all the time when she cant go out. We normally let he out all night after we come home from work, and bring her in at night. She cries all night. Then my husband wakes up really early in the morning, lets her out, and i bring her inside again before i go to work so she has a couple hours of play time outside before we go to work.

But no, it is not enough and she started having me chase her in the mornings to go inside the house. she started climbing on the fence and just not respond to me calling her until i climb out and get her. It has been eight months since we moved in and she started not using her litter box three months ago; At first it was rare occasions-then the peeing started becoming more frequent- she started peeing everywhere- on the bed, in my purse, on whatever she finds on the floor, laundry basket, inside my closet, our new down comforter-you name it. We started shutting the doors to the bedrooms and clean her litter box religiously. It was always clean to begin with since she is so picky.

I took her to the vet this past weekend after reading about the uti as a possibility. The vet said there is no urinary tract infection. Now since we got back from the vet, she stopped using the litter box completely. I got worried thinking she is sick and holding her pee. I did not let her outside all weekend also, because i was not sure if she was sick and wanted to see if she was going to pee. She pooed in her food bowl yesterday, peed all over the floor in the kitchen, and pooed again today next to her food looking at me in the eye. She does not look sick or in pain, and especially after the vet ruling out the uti, i dont think it is physical anymore. She lived by the door to the back yard since the vet visit. I feel like she is pissed because I am not letting her out. I locked her in the bathroom today with her food and litter.

Please someone help me, i am losing my patience and didn't know what to do. I love her and I didn't know if I should restrict her to indoors completely because I am afraid she is not going to take it well. But, i cant let her out all the time either- both me and my husband work during the day and she is locked in all day. We didn't have kids or other pets. Thanks for your suggestions