It's not quite possible to diagnose IBD through blood and stool tests alone, but they're getting closer. There's a fairly new stool test for faecal calprotectin. A positive calprotectin result is not seen in those with IBS. Unfortunately, there's a small number of false results, so it's not 100% reliable. Blood tests test for various inflammatory markers and anaemia.
But to be honest, I don't think it sounds that likely you have Crohn's. Not impossible, just not very likely. If you do want to go ahead with endoscopic investigations, then a colonoscopy would be the next obvious step followed by an upper GI test, such as small barium follow through, MRI/CT scan or the pill cam.
It's up to you (and your doctor!). In theory, IBS is a diagnosis of exclusion: that is, all organic causes (like IBD) must be ruled out first. In reality, a lot of doctors jump to IBS (or that other perennial favourite, 'stress') as the first explanation for symptoms of diarrhoea and cramps. 'Red flags' for organic bowel disease include blood in the stools, low-grade fever, anaemia, waking up in the night to have a BM, and unintentional weight loss. Basically, a Crohn's flare-up tends to make you feel a sense of
malaise, whereas IBS shouldn't do.
Does any of that ring a bell for you?