I don't see a heavy duty L-adapter at AOE, but the AOE-BAM adapter should be sufficient.
For freehand use one can create a human tripod by resting both elbows on a support (car, railing, etc.). Observing prone or in a recliner is often recommended. Many find holding the fat ends more stable.
Relax your breathing and employ a slow, hovering pass around your targets (trying for a perfectly steady image only further competes with the fast twitch hand/arm/shoulder muscles, making the fireflies worse).
Along with the Messiers, an excellent rites-of-passage southern DSO bino list can be found here:
http://www.astroleague.org/al/obsclu.../ssbinoc2.html
With average visual acuity (~200") 20x mounted binos can also split doublestars as tight as 10" separation.
Congrats on the new glass, and happy hunting!
SJS