There are some cheapish weapons you could save up for - I would try and get an
https://wiki.project1999.com/Adamantite_Bo_Stick
It cheap because the proc isn't great - but the ratio is good until you hit 30.
For 1hb
https://wiki.project1999.com/Blackjack and
https://wiki.project1999.com/Fighting_Baton are pretty cheap and good starter weapons
I think you could get those for less than the wiki says.