I wouldn't move the TV at all. I know tantrums are totally frustrating, but it's normal at this age, and you absolutely cannot give in to them. Redirecting or distracting can work at young ages, but when they get to the tantrum phase, you have to ignore it and walk away. You cannot reward them with treats like going to the kiddie club or the ball pit at a play area. The answer is "no" - otherwise you will find the "negotiations" so much more complicated when they are 4 and 7 and 12! You don't put a screaming kid in a class. You put her in her room until she can calm down, and you tell her you don't talk to her while she is yelling. When she gets quiet or calms down (whatever vocabulary you want to use), she can come out to play nicely and have fun. The consequence for a tantrum has to be ignoring her, depriving her of your company.
I have cousins whose 2.5 year old just LOVES "Wheels on the Bus" - so when he won't sit in his car seat or whatever, they put the "Wheels" video on the smart phone. Result? He screams as much as he wants until he gets a special treat, he has broken 2 cell phone screens at $100 apiece, and he gets his way. He knows he can delay their departure for 15-20 minutes until they offer him the distraction that appeals to him. Our feeling is that car seats are not negotiable! He grabbed the appetizer trays at our house and threw them on the floor - parents' reaction was to lead him over to a pile of Duplos. Or they'll say "You make me upset" or "you give me a headache" - but it doesn't work, because a toddler doesn't care or have empathy yet. (It's not a good technique for tweens and teens too, who have empathy but not for their parents!!!)
I'd just make her more miserable by being alone than she makes you by screaming. I know you hate the screaming but don't give in to it. If you are late to something, so be it. If she goes out the door in her pajamas, so be it. She'll learn - and more quickly the more consistent you are. You can also pack up the things she isn't interested in, and either give them away, or put them in the closet and rotate them out when you take others out of circulation. That way, old toys seem new again. Sometimes having too many choices is harder for kids.
Your list of activities is extensive. I wouldn't pay for anything else or drive to anything else, other than an OCCASIONAL trip to children's museum if you have one nearby (look into a yearly membership so you don't feel you wasted your money if she gets tired in an hour or two). Sometimes libraries have free or discount passes.
I'd just add in some things like nature walks - when you go out for a walk, have her take a bucket and collect interesting rocks or leaves or pine cones (maybe not the ones covered with sap). Wash, dry and paint rocks to make paper weights or garden decorations, put leaves under wax paper or trace them (get a preschool craft book from the library for ideas), clean/dry pine cones and roll in peanut butter and then birdseed to make cheap feeders (add in some string and hang from a branch near a window). You can also get a feeder that sticks on the window with suction cups - they are clear and she can watch the birds for little more than the cost of seed. There are a lot of crafts where kids use sticks/twigs and so on. Ask your librarian for some books you can peruse - maybe you can borrow from another library if yours doesn't stock a lot - our library participates in interlibrary loan, and I can pick up/drop off at my own branch.