Well, at least it sounds like this type of frustration will be alleviated as she gets more mobility and can do the things she wants to do but can't do now. That doesn't help you get through it now, but it's something to look forward to!
I second the swing idea--but my kiddos were not like yours at that age, so it's hard to say how that might work out.
How about a PowerTouch? I don't think they make them anymore (Fisher Price) but you can surely still get them on eBay. It's like the LeapPad (precursor to the Leapsters and stuff, can't get those anymore either, LOL) but it doesn't require being able to use the pen. PowerTouch works by finger-touch, and the only problem you will have on that is that if you drag your hand across it as a baby probably will, it can give you confusing output. You put a cartridge in, and the corresponding book, and then it automatically knows what page you are on (unlike LeapPad which you have to press a circle to tell it the new page) and everything you touch does something. It says words, reads the sentences aloud, plays music and sounds, plays games, and lots of things. My DS6 was very into his PowerTouch as a baby--I think it was his 1st birthday when he got it. If she liked it, your DD might learn some independence from it, and you could rest or get something else done for a while!
