Is there any way to play 6 against 6?

We have a little social duplicate club with 6 couples that meets once
a month. We usually either draw for partners or let couples play as
partners and use a modified Howell movement for 3 tables.

It has been suggested that it might be fun to mix it up a bit and play
boys against girls or some other team arrangement. If we had 4 or 8
pairs, I could do a team tournament, but I can't figure out a way to
play 6 against 6.

I have come up with two schemes.

My first plan was to make 3 pairs of guys and 3 pairs of gals, then
use our regular 5-round Howell movement. If I avoid assigning the
three pairs of either team to the pair numbers that may all sit the
same direction in a round, then we get 2 pairs on each team sitting NS
and 1 EW each round, but in 3 of the 5 rounds, one table has guys
against guys at one table and gals against gals at another.

My second plan was to use a kind of Mitchell movement. I made 3 pairs
of guys and 3 pairs of gals. I put the guys NS at 2 tables and EW at
the other. The gals took the open seats. We played 3 rounds with the
guys staying put and the gals moving clockwise into whatever open
seats they are (EW at 2 tables and NS at 1).

Can anyone suggest something better?

This is a social group so I can do pretty much anything.

Thanks