I just replaced the glass lid and broken plastic frame with the all metal one.
Call 877 477 7278 for appliancepartspros and order the following Whirlpool parts (prices as of November 2016):
1 lid part number WP8572026 (AP6013408) for $119.81
2 hinges WP8563964 (AP6004844) for $6.17 each
4 screws WPW10119828 (AP6015313) for $1.97 each
Total $140.03 plus $8.95 shipping, grand total $148.98
Note that it does not say that this lid will fit model 7800, but the lid will fit this model. The parts came to me in two business days for the cheapest shipping. They came in two boxes, and the fedex guy only left one at first, freaked me out a little bit. NOTE that you MUST BUY new screws and hinges for the new lid, the old ones will NOT WORK.
You need a Torx20 bit to remove the old hinge screws, and a Phillips head screwdriver to put on the new lid. To remove the old lid, open the lid, and remove the torx20 screws and pull the lid straight up off of the hinges. Then remove the hinges from the washer by pulling them toward the inside of the washer. Leave the rubber gaskets (around the hinges) on the washer. (Note mine were white plastic washers, not rubber. Put them on the new hinges between the washer and the new lid) On the new lid, install one hinge with two screws on one side of the lid. Then insert the hinge into the gasket of the washer. It will pop into place. With the lid up, push the second hinge through the lid into the gasket and into place in the washer. Then fasten the second hinge to the lid with 2 screws.
The new lid was really simple to install and took no more than 15 minutes. The new lid is sturdy, beautiful, and it looks like it came with the washer! And it will never break! I was very hesitant to try this, but others below said it was easy and they were right. And it was much cheaper than buying a new washer. I'm so glad I did this! (My washer was from 2011, not happy about a broken lid and a bad design, but can't really complain about a $150 repair five years later. I am mikemargolis AT gmail DOT com