I have 4 BLX 95 18X20 & 4 BABOLAT PS TOUR GT, so I maybe able to help you.
I also have an all court game, 4.5 - 5.0 level rating, a one handed eastern BACKHAND and a semi western forehand (when I need spin and safety from the baseline) and a more classic forehand for flat winners.
I wish I could vote for both the PST GT & the BLX 95 18X20, but in the end gave the BLX my vote, because even though I hate the paintjob, I must admit that Wilson made small but actual improvements on the BLX and made it play softer than the stiff [K] FACTOR 95, and improved on feel compared the the older N Code, which makes the BLX 95 18X20 one of the best racquets........in a loooong time from Wilson.
Still the Babolat PS TOUR GT is an AWESOME racquet. Nice spin, needs a bit of lead @ 9, 12 & 3 and you have a serve monster right there with good overall feel and nice pace and spin production.
I can't decide - so I have 4 of each. Love them both. Have only playtested my 4 new BLX 95 18X20 shortly, because I'm sick ATM, but as said - it plays really really nice too.
I also had 4 of the old Babolat Pure Storm Tour CarbonX, and must say that I prefer the new GT version to the old one. The GT version has a better crisp feel and don't feel as mushy and soft as the old had a tendency to do for me.