When you use a +9V power suplly one switch has a resistance of 35Ohm.
Place 3 or more switches in parallel and you will get the desired 10 Ohms or less.

The Idea of a MAX resistance of 10 ohms (which your idea does not have) could have some mertit to it, however

1) I do not have 9V
2) It is not the resistance, but the tolerance of the resistance i am concerned about.
3) I am not stupid enough to work with typical values.
4) no max/min Ron is in the data sheet.

Erik