Up your price to $500 to $800 and you can get a soundbar between 40-60Hz. There are refurbished or discontinued soundbars like Martin Mogan Vision X, Denon HEOS Bar, Focal Dimension, Paradigm, Canton but only the Denon on this list is going to give you HDMI with 4K HDR/DV (firmware). The Samsung HW-850 supposedly has deeper base but I’d personally stick with the premium brands on refurb/clearance if optical DD/DTS is acceptable vs TrueHD, DD+, etc.
Some sound bases have a larger sub to accommodate a larger woofer for LFE (Q Acoustics, ZVOX, etc.) and many are around $250-$300.