Hi Breanna,
Don't worry I dont think you're arguing, we are just discussing things
I understand your family isnt comfortable with it. If thats the case, you probably wont change their mind.
I do want to mention though, just for your own knowledge on the subject (and perhaps you can mention it to your family if you care to say anything)-
Your screen top is made either of metal wire, fiberglass, or nylon. If it's metal, it will most likely be aluminum. That won't melt until it gets near 315c. Fiberglass won't melt until it's nearing 1000c. And nylon won't melt until it's over 210c.
So in all of those cases, whatever material your screen is made out of, it will be able to hold up to the heat the CHE produces. And from looking at your pictures, your screen appears to be made of aluminum. So you really would be safe using just a small 60w CHE such as this:
https://www.amazon.com/Reptile-Ceramic-Emitter-Infrared-Aquarium/dp/B017RCQ4JO
However, if you place the CHE right over the plastic (say a corner of your tank) it will melt. So if you were to place it for instance where you have that middle lamp placed in your picture, it will do just fine.
But, that's up to you to decide if it makes you and your family feel comfortable enough.
If it's only getting down to 65f at night, you really don't even need any extra heat like I mentioned earlier. Personally I don't mind letting it drop to 60 either.
Heat blankets usually have a safety timer that goes off after 30 minutes or so. You could try out a seed germination heat mat that has a thermostat on it. You can place the heat mat under your tank, and then place the thermostat probe to the floor of the tank and set it at something like 65-70 degrees.
I use this for my dubia bin, but it would work possibly for your situation:
https://www.amazon.com/VIVOSUN-Seedling-Digital-Thermostat-Standard/dp/B016MKY7C8/ref=sr_1_2_sspa?dchild=1&keywords=heat+mat&qid=1600452979&sr=8-2-spons&psc=1&spLa=ZW5jcnlwdGVkUXVhbGlmaWVyPUFTUUQ3MlhENUhZNVgmZW5jcnlwdGVkSWQ9QTA4OTQ5NjdDSFJIR09FOUFYOUcmZW5jcnlwdGVkQWRJZD1BMDU1NTU2NTFWQkhVMUpFUUxQUiZ3aWRnZXROYW1lPXNwX2F0ZiZhY3Rpb249Y2xpY2tSZWRpcmVjdCZkb05vdExvZ0NsaWNrPXRydWU=
However it really wouldn't be as effective as the CHE. I know you're probably tired of hearing that at this point, so I'll leave it at that
Keep us updated
-Brandon