Unfortunately, unless you have a good home gym set up, you aren't going to be able to carry on with the StrongLifts program.
Sorry, but that's just the way it is.
Now, focusing on the positive, there are a large number of home training options available, depending on what you're willing to invest in and what space you have available.
I like kettlebells, so I own a few of them and can get a good training session in with swings, Turkish get-ups, presses, goblet squats and loaded carries.
Likewise, bodyweight, you can get a good session in with press ups (since you mentioned you've got bad wrists, you can invest in some push up handles, or can you do push ups on your dumbbells?), pull ups, single leg squat variations, planks and Romanian deadlifts using a box full of books (ok, it's not bodyweight, but you get the idea).
Being outside in nature is always a good thing, so load up a backpack with some weight and go for a walk (technically called "rucking"). While you're at it, occasionally press the bag overhead, or carry it one side or the other, bear hug it to your chest, just play with the position to stress your muscles.
If you've only been training for a few weeks, chances are that you'll still gain strength from any sort of training, provided you don't slack off. No, it won't be StrongLifts style training, but stronger is stronger, having a solid core is always a good thing and helps with the powerlifts. Basically, improvise!