Re: What do you think of this plan?
I would not recommend volunteering - because they aren't going to let you do anything that will count as nursing experience. Besides you spent all that time in school to get zero pay? Can you really afford that?
Do your time at one of the LTC facilities and then reapply for a hospital
position once you have a year or so experience.
In the meantime start taking classes towards your RN, it will open a lot more work opportunities, especially in acute care. Many hospitals have been phasing out LPN/LVN's, and they will continue to do so.
So if your desire is to work in acute care then get your RN. It will be well worth the time, effort, and money.
Good luck.