Good question. Obviously, there isn't a single alternative doctor that has solutions for our IBD conditions. Everyone has a different opinion on what helps and what is not worth the cost. My two cents is this:
I guess to mention at the beginning, the main goal is to get healthy. Use what ever tools available to make that possible. Don't pass up prescription drugs if they can help. It's good naturally to have a healthy appreciation of side effects and to minimize them when possible.
For alternative drugs, many find the generic drug Low Dose Naltrexone (LDN) beneficial. LDN tends to have few side effects. It doesn't work for all, but for many nice improvements are seen in those with Crohns and colitis. I was recently reading a book on LDN's use in the UK and Ireland. The author said it isn't always easy to find a doctor willing to prescribe it but there are a few to do.
There are many web sights dedicated to LDN's use, and books written on its benefits. A Google search will show them. On this sight more can be read on LDN here:
http://www.crohnsforum.com/forumdisplay.php?f=32
Probiotics and FMT are a hot topic for many to discuss. There are several threads written on the topic. You might do a search on them.
For diet, the most popular diet tried is the SCD. The paleo diet is more flexible and sometimes followed. I personally enjoy Wayne Perky's book and support sight. He writes mainly about MC but his ideas can apply to other IBD conditions such as Crohns' and Colitis.
Wayne's sight can be viewed here:
http://www.perskyfarms.com/phpBB2/viewforum.php?f=2&sid=d6ee03b568e0b186186a5812dbe41ddc
In the UK, retired Dr. John Hunter is the expert for Crohn's dietary ideas. There are a few on this sight that have tried his ideas, some with success and others not. An article on his work can be read here:
How to tackle Crohn's Disease without the help of drugs
http://www.dailymail.co.uk/health/article-1076594/How-tackle-Crohns-Disease-help-drugs.html
I'm personally a fan of energy medicine ideas. Obtaining some sensible sun exposure I've found beneficial for my health. I avoid being burnt basically.
I enjoy the practice of grounding, which is as it sounds walking barefoot on the grass. When in doors I use a grounding pad. The company selling the pads has a patent on them lowering inflammation. More can be learned in this video.
http://www.drsinatra.com/boost-heart-health-through-grounding/
Good luck. Hope that helps and best with testing, which ever direction you take with this.