If you react to lactose, then do not drink the probiotic drinks - they are milk.
Fermented foods such as live yogurt and unpasteurised sauerkraut are probiotic.
You may be able to tolerate live yogurt, as it is low in lactose, but I would not try it yet. Not until you have resolved the bloating.
Unpasteurised sauerkraut (check the ingredients: must NOT have vinegar) is IMO delicious. I would eat it in small portions, as a relish, rather than as a vegetable IYSWIM.
The easiest way to take probiotics when you are not sure what you can tolerate, is to take capsules. I use Biokult capsules. Not cheap, but when my gut biome has been disrupted by antibiotics (or by me frequently eating foods that I know make me ill) it only takes one packet of the capsules to bring me back to equilibrium. Then I revert to yogurt and sauerkraut.
Charcoal tablets or capsules are brilliant at absorbing gas. They don't solve the problem of the gas being created, but they solve the problem of the unpleasant symptoms. The instructions on the bottle generally say to take with food, but IME they are much more effective when taken between meals.
More things to consider are your sugar and fibre intake. Sugar feeds the batteries in your gut, and if the helpful : unhelpful ratio is disrupted, then the sugar increases the unhelpful bacteria. Can you try cutting down as much as possible on sugar and on simple carbs? Try also increasing your fibre intake by taking milled flax. You can sprinkle it on your food or mix some in a drink and gulp it down. I like the Linwoods one with sunflower seeds and goji berries, purely because it is tasty.