@Ob 1:
Despite Djin's experience,That's exactly how I started.
My advise would be 'don't try to run before you can walk'. That is,before requesting for a regular column,you must first prove to the editors that you can write good articles. So,write one full article and send to 'THE EDITOR,XYZ NEWSPAPER'. If it is interesting,they will publish...and pay you for it.
Do this at least once a month for a few months,then increase your frequency gradually....eventually,if you are indeed a good writer,they might just invite you to do a week column.
On the other hand,you could now (after proving that you are a good writer) propose a weekly column.
Proposing a column idea when you writing skills are not proven will not get you anywhere!!
Nothing is real unless it can be named; nothing has value unless it can be sold; money is worthless unless you spend it.