I don't know about ice diving, but the Aqualung Zuma roles up nice and small and has integrated weight pockets. I tried one once and it felt great and I was able to trim out quickly with a single tank.
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Subcooled: Be careful about some BCDs that are marketed for warm water travel diving. The XXS/XS and S/M sizes of the Zuma only offer 22 lbs. of lift. That will almost certainly
not be enough lift for ice diving considering the thick exposure protection (thick neoprene wetsuit or drysuit with warm undergarment). On the other hand, the ML/L and XL/XXL Zuma sizes have approx. 34 lbs. of lift which
might be enough for you.
Given your parameters, I think a BP/W could work for you. The BP/W packs down small, dries quickly, and, depending on the backplate material used, can minimize dry packing weight. Get a wing with at least 30 lbs. of lift. If you plan to attach all of your ballast to the harness of your BP/W (you said that you disliked weightbelts), you might want to consider getting a wing with 40 lbs. of lift. The wing needs to have enough lift to do the greater of the following: (1) compensate for complete loss of buoyancy of your exposure protection or (2) float your BP/W rig at the surface without you in it.
That being said, one doesn't
need to use a stainless steel backplate with a drysuit in order to be trimmed out properly...although that gear-choice does seem to work for a fair number of people. Centering weight above your lungs and along the spine can be helpful. Please understand that, with patience and properly positioned weight pockets, one can trim out well in almost any BCD.
FYI, many novice divers develop a dislike for weightbelts because they were certified in colder water temps, necessitating more ballast, and too much of that ballast was loaded onto a weightbelt. (Here in Southern California, I've seen some local divers wearing 20-25 lb. on a weightbelt. Yikes!) 6-8 lbs. on a weightbelt can be worn quite comfortably...and gives a convenient amount of ditchable weight (approximately equal to the weight of gas in a single tank). The rest of required ballast can be distributed in weight pockets mounted on tank cambands and the waist strap of the harness. Another very workable option is a weight harness such as the DUI Weight & Trim.
Very comfortable IMO.