Rad/Sonic budget perma?
This is a comparatively cheap perma-hasten, perma-AM, perma-Lingering radiation, no defense build, keeping most of your power choices. All attacks cap hitchance vs. +3 enemies with Tactics on but without amplify. It also has better endurance recovery (0.25 end/sec more recovery with all toggles on). Note that I gave you siren's song in place of dreadful wail. Since your build has no defense, an AoE sleep lets you pick things off at your leisure. It's also a potential slot for a cheap purple set.
I also gave you a Lockdown proc in choking cloud and moved your build up proc to Shriek, which recharges more quickly, and one of the devastation procs from Shout into Scream. This way, the procs are all in your fastest-animating and recharging attacks.
Outside of the uniques, the most expensive piece on this one will be the Oblit quad. Expect to spend 70-100m.
Some things to think about for a future build: I don't have any experience with the PPP summons, but I doubt they do much good on their own. You might want to think about dropping the fortunata and taking Dark Mastery instead. Soul drain from dark mastery recharges faster (it is actually permable) and has a larger radius.
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I've recently given into the temptation of rolling a Rad/Sonic and am finding it an absolute joy to play. However, I'm having trouble figuring out a way to perma Hasten/AM (one generally makes the other, after all) without breaking the bank by using purple sets. I would prefer to keep the spending under a billion influence, more in the realm of 500-750 million if possible. Assume that I already have (or don't care about the expense of) the Numina and Miracle unique IOs.
Some things I would like to keep:
1.) I like Choking Cloud, despite its lack of power in some environments.
2.) Lack of a travel power doesn't bother me, as Ninja/Beast Run tends to suffice. If having a travel power would improve the effectiveness of my Rad (i.e. going SJ to pick up Acro for pre-Incarnate Hold protection), I'm open to the idea.
Some things I'm not fond of in my current plan:
1.) AM is permanent by 0.4 seconds, which is cutting the OCD a little close.
2.) Hasten is not permanent by 7.5 seconds. It would be nice to find a way to shave that off somewhere (likely getting better overlap with AM too).
3.) I'm not familiar with some of the tricks for slotting Rad, so I worry I may be missing something that would let me be far more effective somewhere (i.e. strange HO interactions).
4.) While I like the kick behind Dreadful Wail, I hate the End crash. I could definitely do without the power entirely.