Hello all, I thought you might like to know I have found a way to load Tasker onto a fire tablet without using google Play. This is not a Hack in anyway. Very easy to do. If you become a Patreon of Tasker and choose the $4 per month level of service you can get a copy of the License Key from the developer. I asked if the license key will expire if I cancel my membership and he said, NO. Once you have the code, just use your fire tablet to download the .apk from the tasker website, enter in the code after opening the app and you are good to go.
Hope this helps, it certainly did for me.