Oh boy, your sailing world will greatly improve with the addition of a bimini!
Looking at CCrane2299's first photo of his "New Design" C-22, which should be identical to your 1986 C-22, you could drill and tap the very rear of the genoa track. Actually you would only need to drill one hole and use one that is already there. This should allow you clearance for the winch handle. So you might want to test fit it first. Attaching your bimini mounting hardware to your genoa track also prevents the genoa blocks from disappearing when your away from the boat. I found the wider the better for a bimini. I attached a couple photos on the attachment of my bimini to my genoa track. Yes I lost the aft portion of the track for adjusting the cars, but I don't sail with a genoa, and my adjustment area is plenty long enough for my jib. My bimini extends aft maybe 12" from the end of the boom, and forward just behind the vang attachment on the boom. At rest, the boom is just an inch or two above the top of the bimini, so when I drop the main, the bimini frame kind of acts like a boom gallows and supports it.
My bimini cover un-zips from the 3 support frames and we remove it when trailering. The frame always stays attached to the boat. When it's down, I still have clear access to the sliding hatch, even in it's full forward position.
The forward bimini frame support arms are a new addition this year and they really stiffen the frame.
Don