Gunblade AD Tristana?
Hear me out before you go crazy with the no's ,
First off, she still has 3 AP ratios, all of which can be increased up to 1.0 by either base (Utlimate) or Auto attacks on her E (Jump and Explosive Charge) This leads to a solid extra 240 damage in a well done rotation, plus the lifesteal of BoTRK, and a 150 (.4 AP) ratio active on gunblade (Which's Cooldown is lowered by her AA's, Her E, and Her R) Along with 20% spell vamp ( W, E, R all benefit from this)
Ontop of that it gives 15 more flat AD than BoTRK (Minus BoTRK's passive though) With A dancer / Her Q you can get a serious amount of Attack speed already.
Mix this in with your regular build, and Trist can be nuking people fairly hard, at still a safe distance, but she also gets a bit of a increase on damage on all of her abilities she throws out, ontop of that, she's getting a pretty steady amount of lifesteal from her AA's as well as a good chunk of health back from her W, E, and R (Yes I realize technically W and E get reduced amounts of healing due to being AoE, but if it hits several clumped up targets, it's still a bit of healing)
Basically, Trist E's someone, AA's them activates Gunblade, W's and R's them and watches them blow up, it's a mix of both Physical damage and magical as well, thus allowing her to do solid damage against anyone building only Mr or armor.
Plus gunblade still has the damage and slow that trist's BoTRK would naturally have (40% flat MS reduction, instead of 25% and gaining 25%).
Just an idea, I think it could be doable, a nice 40% slow is pretty awesome to have too.
Feel free to drop your opinion though, I'm not stubborn.