I wouldn't go straight to a taller tire, but rather same overall tire diameter on a 16" wheel to get more sidewall. 225-50-16 should fit the bill, and there's some nifty wheels that are rally style in that size that don't break the bank:
http://www.ft86club.com/forums/showthread.php?t=57975
(If you have the Performance Pack with the big brakes fitting smaller wheels might be problematic)
There's a couple springs/coilovers that target rally style, but nobody to my knowledge is running them in America and the guys running their 86's in rally competitions are mostly custom setups or near stock. Quick googling comes up with MCA and Ohlins providing setups for some people, but that's in the $3k+ range.
http://www.ft86club.com/forums/showthread.php?t=57564
http://www.ft86club.com/forums/showthread.php?t=79713
I wouldn't bother raising it up with spacers as it seems the primary concern is ride quality not ground clearance, you might get a minor improvement, but I'd focus on the suspension side of thing if you're going to be disassembling the suspension.
Maybe a softer coilover setup like off the shelf Ohlins or Bilstein B14's with the height maxed out might get you what you're looking for. I know the Ohlins can match stock height, there was a post here by works about it, and the more I think about it the soft springs and reputation for cushy valving might be a great match and without the top hats they don't really break the bank.
http://www.ft86club.com/forums/showthread.php?p=2749417