My child had trouble with transitions, not so much with separation from me per se. But maybe this will work for you. He always had to take something from home if he went to school, and something from school when he came home. One time he brought home a little magnet from kindergarten (one of those counters the teachers use a lot of, in different shapes). This one was shaped like a bunny, and since I always called him "my snuggle bunny" he said that the bunny magnet would help me not miss him when he was at school. So sweet.
When he went up for a nap, he took something from downstairs - random stuff, but always something that "belonged" downstairs - a wooden spoon, a knick knack, anything. When he came down from his nap, he had to bring an "upstairs" item downstairs.
Is there something of yours that you can give her, something associated with you that she knows you will come back for? Maybe not something of monetary value, but sentimental? Ask her to please hold on to this item, to safeguard it, to be the person you true with that object? It might create a sense of "permanence" between the 2 of you, and make it a special bond between just you two? If you gave her a little speech along the lines of "You're the best person to be in charge of this item, there's no one I trust more with it until I get back" and so on, it might make a connection. If you can't think of anything at home, maybe you can buy something, either on your own or with her, that is symbolic of your relationship or just of you, some little trinket even from the dollar store or thrift shop. I'm thinking that something specifically related to YOU rather than a traditional lovey (which is important but isn't working) might make the difference.
My guess is that she won't need this forever - sometimes having spent a year in kindergarten makes it "real" to kids that they're growing up and school is going to be an everyday thing for an eternity, and they're clinging to childhood. Sometimes they get nervous as the school year ends and they are sad about leaving their teacher and a little nervous about moving on to a new teacher and new classmates. Transitions are hard because it means the end of the current security they feel.
I think the TV and iPad work for now, but if you're afraid you're setting yourself up for "all iPad, all the time, whenever Mom is gone" then it's going to be a problem down the line. If promising an hour of it (or any other privilege) will work, that's a decent standard to set that you can live with.
Good luck. I know it's hard!