Milgard non tilt balacer
Thanks for posting. Based on the pictures and description I believe these channel balances might be either our S380-27 or S385-27, depending on the depth of the bottom nylon shoe, or the 'heel-to-toe' measurement. See the diagram below for reference. In either case, for a stamp option you most likely would need 2640, which can support a window sash in the weight range of 19 through 26 pounds. You can always weigh the sash if you are unsure if this is correct.
It would be very unusual to not be able to remove the window sash to extract these balances. In fact I've never heard of such a setup before. I am wondering if the Top Sash Guides in the corners of the sash that are meant to keep the channel balances in place have broken, and the balances have 'shot past' the sash to the top corners of the window jamb. See the videos below that detail jammed window replacement, as well as removal and replacement for channel balances. See if these help.