Is there an attorney that will help complete an application for benefits on a long term care policy?

If you're looking to claim benefits from an existing LTC policy, call the policy's claim department. They will walk you through the procedure, and tell you what you will need to provide for the claim.
If you are looking to get reimbursed for out of pocket expenses, be prepared to have to call often. I had to make many, many calls to my mother's LTC company, in order for her to get reimbursed. Be tenacious. If you need to go "up the ladder" so to speak, ask for supervisors; also, keep a log of whom you speak to and when.
However, if you're looking for payments to be made to an agency, or a facility, let them help with the calls; they are used to dealing with the different companies, and can usually get results.
The only thing I could imagine you would need the assistance of a lawyer for is if you feel you aren't getting the benefits that you contracted for, in which case an elder lawyer would probably be your best bet; although, I imagine any lawyer versed in contracts cases would be able to help.

We don't have attorney's associated with this forum.

Why do you feel the need for an attorney? Whats on the application that you feel you are not able to handle?

You could try your Office of Aging and see if there is someone there who could help. A Senior Center?

I'm sure an attorney would be happy to take your money to do that, but how hard can it be? Is there no family member who can help with it?