Yea, well i've seen them do that, but not actually stay on the vine for awhile like other types of snakes. I didn't realize you meant the ones with suction cups either also, I thought you meant like the silk vines that you put in a tank for decor and couldn't hold the snake up lol.

As far as thaw a frozen mouse, they'res different ways that each person does it. I personally let the mouse thaw out in room temperature on the kitchen counter, I usually let it sit out for 5 hours, then I put really really hot water in a pot with the mouse in a ziplock bag and a cup ontop of the bag(not the mouse) to hold it under water, and i'll usually change the water once or twice to make sure it stays hot. sometimes i'll just put it on the stove and monitor it heating up. Since your's hasn't got the best feeding response, let the mouse thaw out in the same room as your snake to pre-scent.

Others let the mouse sit out 5-6 hours, some use a hair dryer to heat up the head, I never liked the hair dryer method so I never used it. Also the only reason I didn't let the mouse sit a bit longer is because I had to sleep for the shift I work.