For a 35 gallon tank a sump isnt needed, and IMO more of a hassle then its worth.
For a larger tank I would definatly say go for drilled because this way there is no dried up pumps or overflows to worry about.
See with drilled once the pump stops like it a power outage the water level in the tank only drops a small bit of which the sump can hold all of. Once the power kicks on the the levels return to normal.
With a overflow the power goes out, water level drops, over flow stops, power goes back on, tank overflows, pump runs dry. Some overflows, like the ones from cpr use a pump to restart the overflow but they can be unreliable.