Fairly regular route I like to do is this (I'll be brief but as you live close, hopefully this will make sense):
1. Down into Strood, over the bridge into Rochester, immediate right after the bridge along the Esplanade*. Follow all the way up the hill into Borstal, turn right onto Woudham Road.
2. Carry on through Borstal. Take a left just after you pass under the M20 flyover, onto Burham Road.
3. Follow this all the way down through Burham. Good bit of road.
4. Turn right onto Rochester Road, drop down into Aylesford. Follow Station Road and turn right onto the A20 for a bit.
5. Follow for about 3/4 of a mile then take a left onto New Road down to East Malling.
6. Then follow this general direction: East Malling > Wateringbury > Nettlestead > Yalding >Benover > Collier Street > Horsmonden > Goudhurst > Sissinghurst > Biddenden.
7. At Biddenden, I sometimes turn south and head to Beneden, then loop back around to Sissingshurt, then head back to Biddenden again (because the road from Goudhurt > Sissinghurt > Biddenden is great, so it's no chore to go over it twice, and this little loop picks up some good roads

)
8. From Biddenden, head north toward Headcorn, but then take the right on Smarden Road.
9. Follow that all the way through Smarden > Pluckley > come out on the A20 at Charing. Take a left, follow the A20 for a short bit, then take a right at the big roundabout up the hill (A252).
10. Top of the hill, take the left, Faversham Road. Follow it all the way to where it joins the A251 (this section here is hands down one of my favourite bits of road).
11. When you get to the A251, take a left, and head north. Then I generally just get back on the M2 and cruise home in time for breakfast
Haven't included many specifics but if you look at a map, you should see what I mean....obviously branch off if you feel like exploring. But on a Sunday morning, I find that a generally pretty quiet route with decent flowing A/B roads that are lovely to drive down while not being so small that you worry about oncoming traffic too much. Take sunglasses because you'll spend a lot of the time heading east, so if you're out early you might have the sun in your eyes.
*I'm not sure if the Esplanade is still closed - if it is, then instead, get on the road down through Cuxton, cross the Medway at Peter's Bridge, turn right and then pick up the road again at step 3.