Don't be in such a hurry. Why try to get it done it 4 to 5 months? Do it on weekends, when you can, and a couple days after work in the summer when it stays light longer. Seriously, my main problem with ATP is the 90 day program takes you from PPL to CFIMEI so quick. No time for things to sink in. No time to practice what you just learned. Doing it so quick makes for a lousy learning environment, not better. Anyhow, go speak with the furloughed airline pilot CFI and see what he thinks. Talk about structure.

Don't worry about the multi time. Concentrate on becoming employable as an entry level professional pilot.