That's true, you do need some form of a boost fooler to prevent defueling. There are stand-alone boost foolers on the market (about $150 I think), but maybe boondock has the right idea with swapping the tuner for a box that has the foolin' built in.
When you change turbos the truck's powerband and responsiveness are changed. It's a trade off; you take from the bottom and add to the top. The common thought that you see a lot here on the TDR is that you can make up for a laggy turbo by adding more fuel (injectors, box, etc. ). That's true to a point. Under full throttle operation the extra fuel will generate more exhaust gasses than a stock engine would, and the greater volume of gasses can drive the bigger turbos. So the only time "extra fuel" will help spool the turbo is when you're using it, i. e. full or nearly full throttle. During partial throttle applications you're not flowing any more fuel than you would have been when the truck was stock, so there's no extra exhaust gasses to drive the bigger turbo, so now you have more lag.
I put a bigger turbo on my truck because I though I had enough fuel to drive it. It ran great empty and kept the full throttle egt's in check, but when I put the trailer on I got the lag that I mentioned above. Slight hills wouldn't be enough to cause enough load on the engine to use the extra fuel to light the turbo, so I'd end up with less boost than the stock smaller turbo would produce, and hot egts. The bigger turbo made my truck a towing pig below 1900 rpm or so. I had to be really light on the throttle or downshift. Now when I tow, I put my stock turbo back on and I got my low-midrange performance back. I can leave the truck in 6th with the cruise on and the little turbo would generate much more boost at lower rpm's than the big one, and the extra boost keeps the egt's in check.
So that's why I wouldn't reccomend a bigger turbo at this point. If you get your boost into the mid 20's I think your egts will be back under control. The little HY should be good for almost 30 psi, so you're not even using all of its cooling potential yet. If you do end up with 80hp injectors, something slightly bigger would be the way to go. Like a PDR35/12, or even a take-off from a manual truck (which can probably be bought for a couple hundred bucks). My stock turbo (HX35/12) was enough to keep my Mach 2's and an EZ under 1250*. Just don't be tempted by the "bigger is better" concept with turbos; you can really screw up a great running truck if you go too big too quick.