Oh I can really commiserate with that critter in the house.

Our cat Oreo brings in live critters (so far no snake tho) all the time and has taught our new kittie Weezie to do the same!

We had a mink frog at 1am upNorth, jumping around the bedroom and screaming (I didn't know they made that sound)
and I had to get the Oreo net and catch him and take him out!
(luckily I shut the closet door just before they moved towards it. Getting him out of THERE would be difficult.

I love nature but I confess I get eeeuuu
.
those things are in the house. I typically react with a screech of my own. Hubby and I have become very good with the net! We use a butterfly net that is sold for kids, to remove critters.

I think a snake would be difficult and very fast and alarming!
Have you removed him yet? One ploy we have done is leaving the door open to "outside"...many live critters will leave if given the chance. Second idea is a dark box for him to hide in....provide one, and check often to see if he is in it. Make the opening rather small...as they like that. Check your sunny areas often, because snakes need to warm up. Maybe he is looking for a warm place for winter?