I have bad wrists too and run into this issue a lot. The amount of times I see an entire workout revolving around the push-up position is truly disappointing. I think using your forearms when you can’t get around it is a great idea. I’ve been doing that for planks and it helps me so much. I’ve also talked to my trainer and she said that any time you’re working out where you need to grab something (like lifting weights) to grip it tighter than you really need to. You don’t need to white knuckle it, but the stronger your grip, the more engaged your hand and forearm muscles are which are the muscles that protect your wrist. If you barely squeeze something your wrist joint is going to be putting in most of the work which can lead to further injury.
As far as general workouts, I would recommend you switch it up with something that activates the same muscles. Like switch push ups for bench press or mountain climbers for an ab exercise of your choice. If you are removing something that is supposed to workout your glutes, you don’t want to switch it for something that works out your biceps.
All of this being said, any movement is good movement as long as you don’t hurt yourself. Have fun and find what works for you. Online videos are really helpful for giving you ideas but I think exercise works best when you listen to your body and do what it needs.