The HSS-0130 is the $300 answer to your question. It’s a beast.
You won’t be converting from DC to Saturn without modding the stick. You’d need a different PCB. I haven’t tried the ToToTek converters for PS2 to Saturn but I’ve read they work well. You could couple it with a Namco arcade stick.
It’s very compatible, no converter. You will need a way to wire it up though. Most popular route is to go RJ45 off the MC into a Saturn cable. You can make it yourself, or easier, find someone on the trading post that sells them.
Also: if you ever need a Toodles board, the best source is Toodles himself.
You should just dual mod to a model 1 Sega Saturn PCB. I would also buy 2 more buttons for L and R on saturn and drill them on the side.
How to dual mod.
For the saturn PCB the hard part will be finding the spot where voltage is. You will need a multimeter to do a continuity test for where pin #1 connects to what wire off the saturn PCB. You will need to solder a wire there or to a point that is connected to voltage.
Taken from the RJ-45 tutorial
Edit: Actually just use this diagram for the saturn pad. You can clip off the left and right sides of the pcb.
Also, optional. You can use solderless wire splices to tap the signals from the Agetec. This can save you from some tricky soldering on the Agetec board.
Dual modding with an actual Saturn controller is the cheapest method. You can obtain a controller for about $20 on ebay, whereas a MC Cthulhu runs about $35 and you’ll still need to buy a Saturn controller extension cable to splice with the RJ45 in order to connect it to the console.
I know this is not the trader but I have an extra ToToTek Ps1/2 converters that I got from ebay they work great. it even has a first party sega cord not those cheap cords with plastic ends I will take a pic if interest I only really need one since I have toodles magic in my other sticks
also I noticed you’re in DC I’m in VA so it would only take a min to get it in the post