I don't know if you can get around that - then if that's what your Dad wants, then that should be respected, and people should respect and understand that.
My Dad's funeral was odd for me, as we'd been back in the UK and had been with our families, but he passed the day we arrived back in Australia. I think he knew I really didn't want to be there when he passed. He'd been on end of life care the last two times we'd been back, and each time, he managed to keep going. But that last time, my sister rang the afternoon of our return to Australia and told me Dad had died 4 hours earlier, which would have been 1am UK time. A bird, strangely enough, sang in a tree outside our bedroom window at the time of his passing, which we'd never heard before, and we'd been living here for 18 years by that stage, and I felt a strong sense of comfort and love.
We were about to book a return flight immediately, but my Mum and Sister told me not to, as I'd just been there, been with him and them, and the funeral could be Skyped. I didn't like the idea of it, but all the relatives assured me to go with it, so we did.
It made me feel a very big part of it without actually being there. If I hadn't had already been there just days before I would most certainly have gone back for it.
But on a lighter side, a friend of ours had a most bizarre funeral, from Kiwi work mates doing the Hakka spontaneously, heavy metal song as a tribute to him, which was actually really awful, but his wife chose it from the music he chose to listen to in his car, and ending up with "Always Look On The Bright Side Of Life" - Life Of Brian!
So, I believe in each to their own and every funeral should be unique to the person who has passed. And it should be a celebration of their life, not a misery of their departure, but then I guess it depends on peoples beliefs in the here after.