I have not grown snake gourd but most gourds grow LON LONG vines up to 100 ft. In their peak they grow about 10" in 24 hours.
So, I don't think it is practical to grow them in a pot.Unless you make a big, tall trelis around it.

Last year I grew birdhouse gourds in a big pot and had good results. I had 3 plants in the same pot and they did grow long vines but not 100 feet. I think being contained regulates the size of the plant. I had 12 large gourds from these 3 plants. You can also pinch the end of the vines as they get too long and the plant will grow side shoots. I used a tall trellis with feet in the pot and the plant outgrew the trellis and vined on the ground.

This year I'm growing snake gourds, swan gourds and autumn glory gourds all in pots with a long net to use as a trellis.

Just try it and see what happens. I'm sure you could get some nice gourds out of it.