hostripples.com is providing $1 per month kind of plans but you need to buy for 12 months as a package.
But you need to take care for checking your required features (not sure about 1 core and 1 GB ram) as they are dealing with hosting.
Bitcoin payment is not available with them (I guess it will not be your concern as you are not mentioning anything about bitcoin payments).
Does they allow sites that the daemon must running all the time?
Edit
seems this offer is over on all region there!