I am not a Browning fan, shooting a Beretta SP II Sporting 20 ga. myself, however, what you are looking for would likely be filled nicely with a Browning 625 Featherweight. In 20 ga. with 28" barrels it weighs 5# 8 oz., in 26" it weighs 5# 6 oz.

Might be worth checking out, though it would necessitate shortening the LOP. With the 26", and cutting 1" off the pull, you would be down to maybe 5# 3, or 4, oz.

SRH

May God bless America and those who defend her.