Blepharitis can stem from a number of causes, but all will cause difficulty wearing contacts. Of course, you'll need to treat the underlying cause of it before contact lens wear will be successful. Initially, blepharitis may need an antibiotic/steriod ointment treatment to get things under control. The run-of-the-mill maintenance treatment (which you may have already done) then consists of lid scrubs, warm towel compresses, and artificial tears. If it's bad enough, Doxycycline oral antibiotics may be a good option for you. Homeopathically, you need to INCREASE things like water intake, Omega 3 fatty acid (fish oils, flax seed oil) intake, sleep, and exercise. DECREASE stress, caffeine, Omega 6 intake (meats, cooking oils), stop smoking if you do, and try to watch your environments and stay away from dirty dusty places.
So, after getting your doc to treat your lid problems, I'd stick with Dailies for contacts. They're a little more expensive but also the best for allergy/dry eye/bleph trouble patients. I'd start with the Acuvue 1 Day Moist 9.0's, depending on your eye shape.
But, see your doc for the final treatment decision. If it's been a big problem, see if he/she agrees with a Doxycycline regimen for you. I've treated many tough cases successfully with that
I'm an optometrist