New member and new to the forum. I've been using Hornady One Shot Cleaner and Lube. It goes wet and flashes off leaving a light dry film. I then lightly wipe any excess. I've never seen it migrate or run. I use it on all my firearms and reloading equipment. The other thing I use is Zerust VCI bags and barrel tubes. I have young kids so everything resides in safes in a basement. I have bluetooth hydrometers and a dehumidifier keeping things at 60-70 degrees and 40-50% humidity. I've used Zerust bags and tubes with no problems for 10 years on guns and anything metal. The bags and tubes have a 5 year life.
https://www.zerustproducts.com/