Yeah, from your description it sounds like the voice coil is rubbing. Re-coning would solve that problem as well, assuming the parts for repair are available. You may be able to mod your cabs to make the new Seas drivers fit, if re-coning is not an option.
Reputable shops that do re-coning: Simply Speakers (in LA, CA, or is it Florida...not sure, but it's one of those coastal, sunny places), Midwest Speaker Repair (Minneapolis, MN).