We lived just around the corner from Stones Rd in Epsom until recently (Lintons Lane). Lots of bungalows on that road (as you've probably already gleaned from the internet) but being Epsom, it's been getting more and more popular with young families; lots of properties have been re-done quite nicely but there are still many "untouched" ones.
That side of Epsom in general is not an eye candy, with industrial estates tucked at the back, and predominantly office buildings on the East St that leads towards the Hight St; it's more of a "practical" side of town. I'd say that bundle of streets (Lintons Ln, Leih Rd, Victoria Place, Stones Rd, Middle Lane etc.) is a more affordable (by Epsom standards) "pocket", but it's not rough (at least in my personal experience). The architecture is a mish mash of smaller houses and bungalows. It's quite popular with commuters and first time buyers; some seniors too.
The road itself is fairly close to the town centre (10-15 min to the edge of High St, depending on your pace), but feels a bit tucked away from the main road.
Off street parking in central Epsom is a problem, but they've recently introduced a residents' permit scheme in that area and there's low traffic as it's a no through road.
There is a rail line nearby, servicing Waterloo, trains every 15min, so may be a bit noisy, especially towards the end of the road nearest to the line. Personally, it wouldn't put me off but I'm not very noise sensitive, and, as a plus, commuter links from Epsom are excellent (if that ever becomes relevant again).
There's a S'bury superstore just 10min walk from there. We used to treat it as our "corner shop", did all our grocery shop on foot, very rarely used a car (again, the situation is different and you might not want to go shopping in person nowadays, but hopefully that'll change one day). Plus Wickes and Screwfix are also a stone's throw away - very useful if you're into DIY 
.
Ah, another one on the noise front - lots of local kids from Blenheim school use that road as a shortcut as there's a little footpath leading from the end of Stones Rd to the other side of the the rail line. So there used to be (how things have changed!) lots of chatter and the usual kerfuffle that flocks of kids make first thing in the morning and just after 3pm.
There's also some sort of a social housing unit (but very modest in size) at the very end of that road (on the right, as you look towards the rail line).
All in all, I'd say it's not a bad road, I'd consider it. If you're worried about the train noise and the dark footpath, look at the half of the road nearer to the Portland Place end.