Something like the following would work

create table tablemonitor (name sysname, rows bigint, reserved varchar(100), data varchar(100), index_size varchar(100), unused varchar(100), datecollected datetime default getdate())

insert into tablemonitor (name, rows, reserved,data,index_size,unused) exec sp_msforeachtable 'sp_spaceused [?]'

Wrap the insert into a SQL job to execute daily, then you can query the table and see which tables are growing day by day.