I did lots of research, yeah. PO-33 retails for $99, but you can get the PO-133 for $89, so I'll assuming $180-$200 is the max you're willing to spend. It's tough to find samplers that are under 200, but it looks like you can pick up a Korg Electribe 1 for around that price. I know absolutely nothing about this sampler though so I can't vouch for it in any way.

But another option, if you have a smartphone, would be to buy Koala Sampler for $5 and pair it with a cheap pad controller, like this:

https://www.amazon.com/Korg-nanoPAD2-Slim-Line-MIDI-Pads/dp/B004M8YPKM

It's not quite as convenient as having an all-in-one-sampler, but Koala Sampler is a very capable app and if you're looking to save money, you could get Koala + a cheap pad controller for under ~$80 if you look around. One thing though: If you want to sample audio directly into Koala (as opposed to putting it in a folder & importing it via the app), I think you need to buy a line-level adapter like this:

https://www.headsetbuddy.com/mic-line-line-level-audio-input-adapter-for-iphone-smartphones/

...which runs another $20 or so.

The short answer is.. yes, but...

You can get a Bome Box, and program it to trigger the Korg. Or you can use a computer with MIDI software or a full blown DAW. You could use a Raspberry Pi ($35 Linux Computer) and program IT to trigger the Korg (though you'll need USB MIDI adapters for anything not USB).

But what's going to trigger the Bome Box, the DAW, or the Pi? There are any number of cheap MIDI controllers that can do it, of course, but if you're going to get a MIDI controller, why not just program THAT to send the trigger to the Korg? The Korg Nanopad would probably work fine. But wilthout a USB Host (computer, Host box, Pi), you won't be able to connect the MIDI controller to any of your other MIDI gear (afaik, none of the ones you mentioned have a USB Host port).

If this doesn't get you pointed in a direction you can follow, post some more information about what you're trying to trigger, when, and how you'd like to trigger it (hand, automatic, foot...).

I'm not sure how well you can map Rekordbox to Midi devices. I like to use Korg Nanopad II (https://www.amazon.com/Korg-nanoPAD2-Slim-Line-MIDI-Pads/dp/B004M8YPKM) for use with Traktor DVS. These are genuine midi devices and can be easily mapped given the DJ software provides midi mapping.

If you are on MacOS you can think about setting cues/loops in Serato/Traktor and convert that info to Rekordbox. This gives you a wider choice of cheap controllers for either Traktor or Serato. And if it's strictly for setting cues/loops the (free) demo version of either one of them will do the job just fine.

Using the DJ Conversion Utility to convert from Serato/Traktor to Rekordbox gives you the benefits that both the hot- and memory bank are set 100% identical (so you got the same loops/cues in both banks).

Short answer: none have midi out. But you've got some options.

1: just use a keyboard controller to tap out rhythms.

2: use your fingers to tap out rhythms on a drum machine like this one for $60

3: if you really want to use sticks to tap out rhythms, get something like an Alesis ControlPad here for $150 or so.

4: finally, if you insist on a v-drum for that realistic feel a mesh head provides, just plug it into a cheap used module you buy on eBay. Any of the TD's will work, you can find a Roland TD-3 for around $160 used.

Also note, any drum module should work, and even non-Roland units. They all receive 1/4" inputs so you could find a very cheap Alesis or Behriger or something. The units aren't very good, but all you care about is the input data and they all should be similar in that regard.

If you're okay with having hardware you could buy a sampler like this. I don't own any samplers so I don't have any to recommend but Akai is known for samplers, most notably their MPC's. Pretty sure all samplers come with software to load and map the samples with.

Edit: That Korg pad might be just MIDI. I didn't look into it. This one is similar to the Korg pad and supports samples via SD card.

With intro, can I input sounds using a drum pad? I have this one http://www.amazon.com/Korg-nanoPAD2-Slim-Line-MIDI-Pads/dp/B004M8YPKM Also, does it come with different drum kits I can get certain sounds from?