Pat the chicken dry with paper towels and place it on a clean surface.
Mix salt, pepper, garlic powder, paprika, and thyme in a small bowl to create the seasoning blend.
Rub the chicken all over with olive oil, then generously massage the spice mixture into the skin and inside the cavity.
If desired, insert lemon wedges, garlic cloves, or herbs into the chicken cavity for extra flavor.
Open the beer can and pour out a small amount to prevent overflow; then, place the can upright on a sturdy surface.
Lower the chicken onto the beer can, carefully balancing it so the bird stands upright with the can firmly inside the cavity.
Preheat your grill to medium heat, around 350°F, and oil the grates to prevent sticking.
Place the chicken upright on the grill, balancing securely over indirect heat, and close the lid.
Grill the chicken for about 1 hour and 15 minutes, periodically checking for flare-ups and adjusting the heat as needed to maintain steady temperature.
Use tongs to carefully remove the chicken from the grill once the skin is crispy and golden, and the internal temperature reaches 165°F in the thigh.
Let the chicken rest for 10 minutes, then carefully remove the can and carve the bird to serve.