@tarev
I have a situation, that is similiar to yours. All of my plants have to live outdoors. I'm in Florida, so my tropical plants love it, but my cacti and succulents, that's a problem for them.
The first thing I did was pot them in extremely well-draining soil. I have some in pots that are way too heavy and large to move and since the soil drains so quickly and due to their large size, they have been able to survive the rainy season here.
The soil I use is some sandy garden soil that is actually my garden soil (but potting mix for cacti and succulents will work as long as you amend it). I mix in a heavy dose of perlite and crushed granite.. After my plants are settled in their pots, I top it off with crushed granite. I buy the crushed granite at Tractor Supply, its sold to mix in with chicken feed.
Second, I purchased some small portable plastic greenhouses. They have a variety of different kinds and sizes. Mine have a zipper to close and flaps for ventilation they are also small enough to drop over the plants in a pinch. But, I stopped using them when I repotted my plants with a super well draining mix.
When the rainy season is over, I do need to water my cacti and succulents more often than is normally recommended. But, it has really surprised me how well they are tolerating the rain now.
It's not a perfect solution, but I hope it helps a little.