Construction and landscaping/lawn services are the first 2 that come to mind. You may be able to find work in either of these 2 fields as they tend to be more flexible in their hours and may be more willing to work with you and may even let you work off the books/under the table, depending on the employer. Another good bet is a temp agency or even a day labor firm, such as Labor Ready, may work for you.
I worked nights stocking shelves at a grocery store and also worked days delivering auto parts while I was a cover driver. Both of these employers were very willing to work with me as they knew I was trying to go FT at
UPS. It also helped that my (ex) wife is a RN and we had her pay and benefits to fall back on during the 11 months that I was a cover driver.
As for the progression, I believe it is 3 years but please don't quote. You can find out for yourself by clicking on the NMA link on this forum's home page.