Check out the digitech obscura altered delay. It can do reverse and i believe the degrade knob *might* work as modulation, at least in tape delay mode. Its a sturdy pedal with tape delay emulation, analog, reverse and lofi. I really only use the tape delay setting (which i love).
How much do you want to spend? I've got an Ammoon PockEcho on the way from China (it's currently having a party in NYC before it hits the road again). It has those features and was only $50. The question is going to be how good is it?
The obscura doesn't really have modulation the way you think of it.. it's "modulations" are really "degradations". The tape degradation is pretty cool but most of the others didn't really grow on me. I sold my Obscura a while ago after trying a Memory Boy.. the modulations on the Memory Boy are seemingly more interesting and it can be used to do a vibrato or chorus without delay as well which helped me make the decision. One neat thing about the Obscura is you can turn the knobs while it's playing and it simulates the behavior of the analog delay type it's modeling (tape, analog, etc..). The thing is it doesn't have an expression jack or anything so you can't actually use some of those features while playing unless you can bend over and fiddle with the knobs. Same thing with it's ability to self-oscillate, etc.. I don't have an Expression pedal to use with my Memory Boy but I'd argue if you want to fool around with the "effects" side of changing delay time, feedback, while you're actively playing the guitar you want a delay with an expression pedal jack.
I'll add one comment, Johnny, based on my adventures with Joyo. The build quality is poor. I prefer to pay more for a pedal that won't crap out on me. Just one man's limited experience.
I can't comment on new, but a digitech digidelay was great for my modulation needs. I rarely used the reverse function, but it was there when needed. Now I have a used digitech hardwire delay... a DL8 I believe. I really like the modulated setting and again, reverse is there but freely used. These may not suit your needs, but may be worth a try to see. I'm very happy with he hardwire pedal.
Maxon AD9 with the Analogman mod. It does everything I need it to, but then, my needs are limited. I need slapback for the rockabilly tunes, some "space" for the reggae and jam tunes, and some modern sheen or shimmer for the British stuff. It's very hi fi and useful without being intrusive (if you like it like that).
Thanks for all of the advice, guys. I just bought a new Joyo D-Seed for $51, I couldn't resist the bargain. Eventually I'd like to try the Canyon, it looks like it does do everything. So many pedals, so little time!
Red Panda Raster -but only if you're willing to explore some really weird pitch shifting extravaganza. The modulation is great and it also has a reverse delay mode, but it is really designed for the more weird sounds. The delay is NOT a tape delay type, it's a digital delay, but I like it lot.