I wouldn't - I also have an abusive ex.
Couple of reasons....
Gives him an "in" to your life and potentially rocks the boat re "I want to see DC".
Gives him control, if he misses a payment, you'll have to chase him.
He can't make the CMS go any faster, in fact if he's like my ex, he'll ignore all letter and calls and force them to trace him via HMS Tax
The CMS will back date any claim to the day you claimed, so he'll have a whacking great arrears payment to make (loved spending that on the DC when it came in - my DC got well and truly treated after having to scrape by for so long!). If he doesn't pay the arrears in one hit, they can take up to 40pc of his income (after tax/NI but before any pension contributions) to cover current payments plus arrears.
I'd give CMS a ring, ask for the named case manager and for an update on progression. They take AGES to get payments into place and will try and fob you off with a direct payment (directly from him to you). You DO NOT have to accept this if there is documented DV.
Bare in mind, if they do a deductions of earnings, he will have to pay an extra 20pc, and you'll have 4pc deducted - but payments will come in as long as he's working.