Most of the hospitals hire new grads year round, but if you are trying to get into a certain specialty program, then they only offer those a few times a year.
As for Texas being affordable...It is very affordable compared to most places. This is a great site to use:
For example, around here (Dallas/Fort Worth area of Texas), most new grad RNs can expect to make at least 40k. If that same nurse moved to Boston, she would have to make $52,993 to keep the same standard of living that she had in Texas. Texas does not have state income taxes either
Texas is a big place, so if you narrowed it down some more (Houston area, Dallas area, Fort Worth, Austin, San Antonio...) you could probably get more information.
Good luck to you!