That regime sounds fine...as long as the container is washed with soapy water and afterwards disinfected. I'd still, however, use feeding tongs and dry mice because many captive snakes still get their own feces on themselves from crawling through or around it after a defecation. This will transfer to the temporary feeding container and the cycle starts up. If any of that unseen particulate organic matter gets on the wet mouse, which is quite likely, that's where trouble begins.
For captive situations, the rule of thumb is to keep cages, food, and cage accessories clean and dry at all times. Microbial activity explodes with life in a captive animal situation whenever there is moisture of any kind...this is all of those germs' big chance to make more germs. This is why a neonate with some unabsorbed yolk is a risky situation...it's like a moist super-highway for all of those patient little microscopic "bugs" to get in line and happily stroll right on into the snake's internal environment, no questions asked.
My suggestion is to go dry, especially when dealing with thawed dead animals.
But feeding a snake on a bare bones clean floor without any substrate is a good idea, where feasible, and does mitigate risk of infection.
DR
Suboc.com