Option #1: Remove Tranny. Option #2: Drill out / Cut off studs and replace with a nut and bolt. You can reach through the hole in the tunnel and position the bolts then put the bracket on and add a lock nut and bolt. This is how I did mine. You need the shortest bolt that will work since you have limited space between the tranny and floor pan. Put the bolts and nuts in prior to carpet install, then just make small "X" on each one and pull them through, then add bracket.
Now you may still be able to use the stock bracket studs and put the nuts in from the underside, but I'm not sure since I am using a Tremec 5 speed transmission vice the stock, so not sure about stock clearance.