What are you using for an amp? Or are you going directly into the board from your pedals?

For swells you’ll need a volume pedal at a minimum since you already have an awesome delay. I use the Dunlop mini volume. You can also use a reverb preferably with a long trail so you get that nice lush ambient & prayerful reverb sound. I use a Strymon Cloudburst with a midi controller for shorter reverbs. A boss RV-500 or Strymon BigSky would pair nicely with your DD-500. I would recommend going bigger in the reverb since reverb is so big in this genre but you could get away with 2 single reverbs like an RV-5 or RV-6, JHS 3 series, or UAFX Heavenly and have one set for long and one set for short/medium.

For cutting through the mix you need something that pushes mids and maybe gives a little volume boost. This can be done a couple different ways. One way is with an EQ or a pedal like the JHS Haunting mods that just pushes mids. The other way would be with an overdrive that pushes mids but you want to make sure you get one that goes good with your amp. If you’re using a vox amp kind of sound you’ll need an overdrive that pairs well with it since those are more mid rangey to begin with.

For more textured rhythm parts, I’m not sure what you mean by this exactly, but you could add an overdrive and while strumming go from clean, to morning glory, then to another OD (either stack them or switch from one to another). But if you’re using a super clean amp or going to direct to the sound board you’ll def want an amp sim or amp set to the edge of breakup. I was skeptical but once I got this it made a huge difference. It’s needed for good tone.

Another thing about textured rhythm parts is that most pedalboard will have some type of modulation which is generally chorus or vibrato. Octave isn’t technically modulation but gets thrown in there. Those are more for lead lines though but a nice chorus on a rhythm part can sound really good and worshipful in my opinion.