You are not crazy!!
I have do not have much in the way of DIY skills but I managed this. There is an excellent youtube video on bowl changing. I bought a brand new bowl and lid for £50 off of Ebay, followed the video and it turned out just fine. My 20 year old Weber One-Touch Platinum now looks brand new. One piece of advice though would be change the old saying of "measure twice cut once" to "measure ten times cut once". On laying out the card to measure on a table and then drawing the circle around the bowl, I found it was 57cm on one axis and 58cm on another. That threw my plans!! I left the bowl out in the sun for an hour whilst I was checking my measurements, brought the bowl back in and redrew the circle and hey presto!! 57cm all round.