Backup of SQL database (any ideas?)

[93Corvette]

I have a forum SQL database that I need make a back of. The total size is 192 tables with 186.38MB.
The largest table are:
Table--------------record-------Size------
attachment--------344----------156.01MB
post----------------9319--------9.55MB
picture-------------68-----------4.32MB
template----------764---------3.09MB
phase--------------11764------2.76MB
cpsession-----------0-----------1.24MB
pmtext-------------1350-------1.22MB
postedithistory-----596--------1.60MB
session-------------5-----------1.03MB

I try to do backup's however, the table being so large the "phpMyAdmin", "Backup Wizard", "Mysql Dumper" can't back them up. Is there any other way of backing this database up without using SSH? My host charge $24 per year for SSH, and having a forum that doesn't charge for membership, nor having advertisements, I truly don't want to pay $24 if there is another way of doing it.

Any advise?