Offering movement opportunities in the cage is always the best exercise option. Handling and letting the snake explore supervised in a room the dog is closed off from while the snake is out can be done at a frequency and length appropriate for the snake - keep an eye on signs of stress, specific frequencies are variable and arguable but daily is generally too much and a couple times a week is fine for many but not all.
Varying feeding days can also encourage active hunting in the enclosure.
Can you provide more specifics on how your snake is "very active" though (including times of day/night)? In some cases, that's a sign that they're unhappy/insecure in their enclosure. (Or it can be a sign of hunger, desire to breed during the relevant season, or other things - lots more specifics needed to determine).
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