It's an interesting one. I'd also consider myself a straight bat player, so had similar concerns about playing bouncier bowlers. It's interesting to see that when the bowlers cotton on that you are using a goode, then they start to bowl shorter. You have two choices at this point.
1. Move your hands around on the handle so that you use it more like a rounders bat.
2. Attack.
I, and another player who is a self confessed defensive prodder, chose the latter course of action. You soon find that you are concentrating on the ball that much harder, and taking a little more care with how you play the ball as you realise that you don't have the extra willow in the way. The other thing you do is move your feet, because you have to. you don't have the extra willow so you need to get the bat on the ball. An unexpected side effect, but I'm not sure it's a bad one!
In T20, attack is expected in any case, so it's less of an issue. In a 50 over match, I can see that it could cause you problems. Certainly, if you are at the end of a 50 over innings and in the "score runs quickly" phase, one of these may be very useful.
Alternatively, if you are concerned, one of the other T20 style bats may be a better option as they have a greater length of willow with which to defend yourself. I think you'd need to get in a net and practice with all types of bat against a machine to really get comfortable with what works for you though.
With regard to pick up, I didn't find it too bad. It's certainly no worse than many of the low middled bats I've picked up and used. And equally, I used to use a 3lb Zeus and this 2lb 11oz MMi felt very easy to pick up in relation to that.
If you do play fairly normally with it, it actually is pretty rewarding. You don't need to try and slog everything. It just gives you the impression that you should because it has a similar shape to a baseball bat! I found I was more effective trying to play normally. Then it turns relatively big shots in to proper big shots.