Update May 4:
The Manaslu Trek is now a great tea-house trek. Some call it the best all-round trek in Nepal and it’s on the Great Himalaya Trail. Manaslu is certainly a great alternative to the Annapurna Circuit. Camping is not required unless you go off the beaten track. The Google Map below shows tea-house locations. Here’s a page with a summary of everything you need to get trekking. You can share a jeep to Arughat to make the start of your trek smoother.
This website provides the information you need to get on the trek yourself, and will help you join an group on a fixed-date departure.
Have a great trek!