It would be nice to know your "old" options.
I would suggest Push Pa, Shove Ma, Some version of divide the Ring (cutaway six, cutaway 4, cutaway 2).
Here is a circle mixer I use to teach Grand R&L.
Number Five is Alive!
CL 8, Fwd & Bk
CR 8, Face Partner, Grand R&L,
with #5 DSD, Swing that one
I modify it to use as a singing mixer. I usually call this as the second dance of the night after an easier mixer such as La Bastringue, and then move on to squares.
Here is an easy New England square that fits any 32 bar tune.
Stafford Springs, CT