I've actually had this exact same build idea. FearfulSalad's post covers most of what I found as well.
If it doesn't ruin the fantasy, you can also go full Dex by utilizing Rope instead of Chain. It's not much easier for creatures to escape and doesn't require you to use any strength at all. In that case, you can go Rogue for Fast Hands and Monk for Dex Grapples with extra Grapple attempts optional from Flurry of Blows. The other big benefit is if you take the Crafter Origin feat, you can craft an additional Rope every LR.
All that being said, if your DM finds constant Restrains frustrating, there are lots of ways to counter it. Destroying the items, introducing enemies that aren't restrainable due to size or form, or giving all the important enemies Misty Step.