Lending a classical, warm feeling to your home, wood is a beautiful option to consider for your living or dining room, as well as your bedrooms. You can install wood flooring in kitchens or bathrooms, but be aware that water spills may warp or otherwise damage the surface overtime. When considering wood floors, you’ll be choosing not only the plank size, wood species and wood stain, but also whether you want solid or engineered wood flooring.

You can rent a carpet dryer at home depot. they are just fans with the air being funnelled at the bottom

That is very strange.   Humidity will slow the drying process, but for the floor to still be tacky after a week seems very strange.    See if you can rent some dehumidifiers and put them in the house.   You may have to do one room at a time depending on how many you can get.   If you have air conditioning then set the temperature lower.   I know this sounds strange but the more the air conditioning runs the more moisture it will take out.   Only other option is to wipe off the excess stain.   You can get a clean rag and wipe off a small area in a location that is hidden to see how much stain penetrated the wood.   After wiping off the excess stain then look at the color.   If you like it then wipe the entire floor.   But your best option is to wait it out.   Some boards may be dry and you may have some uneven shades in the wood if you wipe it off at this point.   Good luck.

Stain is intended to be applied and wiped off; then a sealing finish is applied. If he didn’t follow the instructions you may have to sand again.
Products can be defective and might never dry. My uncle was a builder and painter and I remember him having to remove paint from a door that just wouldn’t dry.
If the stain finally dries, I don’t know how a sealer will act over such a thick coat of it.