Different Money Management Strategy

I'm thinking about different money management strategy for swing trading,

because when we keep open trades on weekends we can't trust on stop losses.
Ex-

So I'm going to follow this, I have $2000 capital on my bank and my Strategy risk 2% ($40) of that balance.

But I'm not willing to deposit all $2000 because of above mentioned reason,

I deposit $200 and risk 20% - $40 per trade (leverage 1:200)

Will this this way work - have advantage or will this effect my trading psychology than deposit normal way $2000 at once risk 2% from it.

Any suggestions