I've got the perfect solution for you....send
me your cordless saw (I'll even kick in $20 for shipping

) and I'll send you my corded saw. If, after trying it out, you find you want to go back to a cordless saw, just let the cord dangle too close to your cut (I've got three I can send you if you want to skip that step yourself).
BTW, where would you plug a wall wart into? I've never seen one that was dual-powered like that, although they always offer some nifty features you can get from them *for a small price* after you purchase their tool. If it's
THEIR A/C pack, you should be fine, otherwise, I seriously discourage hacking it to work it that way. Sell it before throwing your money away like that. You could prolly get two good corded saws for what you could sell that cordless for.
Is that the saw that came with the 20 gazillion-in-one kit?