I don’t think changing your oil every 2000 miles vs 3000 miles will help sludge. Sludge is usually a result of frequent short trips where the engine never gets up to a normal operating temperature. This causes the water in the engine (a natural result of burning gas) to not reach boiling point to vaporize, which then mixes with the oil and carbon to create sludge, which then gets deposited on engine parts when the engine is shut off.
The key to avoiding sludge is to avoid running the car for very short amounts of time, like driving a block for ice cream, and don't start the car just to move it. If you do, let the car warm up fully before shutting it down.