I don't know of any way to use a filter wheel with a DSLR.
To your original question, the only way to do a "Hubble Palette" with a DSLR would be to get separate SII, Ha, and OIII clip in filters and shot with the filters separately. That way you have separated the SII and Ha from each other show you can combine in the SHO (Hubble) palette. But a much simpler solution is to get a multi-band filter like the STC Duo or the quad or tri-band filters OPT and others sell. These will not to SHO but they will do something like HOO or SI/Ha-O-O. Since they pass more than one band at the same time, you would only need to shoot one sequence instead of three.
The problem with Hubble Palette and a color camera is that the SII and Ha both end up in the red channel of the color image.
There are two other problems that a DSLR presents when shooting narrowband:
1) Unless the camera has been modified, there is a filter to block the Ha bandwidth (and probably the SII as well). So this will force you to shoot a lot longer and sacrifice the strongest signals in the emission nebula.
2) Narrowband generally requires pretty long exposure times, and since the DSLR is not cooled dark noise can grow quite strong and be a problem.
All of this is the reason that it's recommended to use a cooled, mono camera and filter wheel.
But if you don't want to invest too much, get a multi-band filter, point it at a pretty bright narrowband object and have some fun!