Machamp Solo Squad

Dnite is borderline at that level and Alakazam even more so. Since it has poor IVs, I would not power it up.

If you have better neutral mons: power up a high DPSer like Shadow Claw Gengar, Flareon, Moltres.

Add in a strong Eggy and an Espeon and you will get to around 14-17 seconds left.

If you have an Eggy with Psychic, that does a hair better than Solar Beam against Machamp, but not a big deal. I'd try to power up another Espeon to replace 'Zam, and bring your mon up to level 31 that are at 30. That's an easy increase (same cost as 29 --> 30), and will add a little more toughness, and a little more damage on the charged move.

And of course, if you can, a great counter for all Machamps is Ho-Oh with Extrasensory and Brave Bird, although it fills a Lugia like role, a little better against Heavy Slam, a little worse against Close Combat or Dynamic Punch.

Need more info about their atk IV than just ipthe general IV, but i will try to answer it generally

I will power up that zam to level 30, its already in 27 and still cheap to make it to level 30 despite the IV, while searching for better Zam
Your Espeon is good enough same as Zam, you can use the resources for better one when you got one..
I do like full psychic exeggutor against machamp. STAB, SE against fighting, and most importantly, its fast. Help a lot when i need to dodge
I use dragonite with hurricane, dont have the outrage one, so can't help you much there, but hurricane is SE against fighting
I dont use Lugia, so cant help also...

Your line up is quite simmilar with what i use when i just want to win because i dont have much time or not feeling to play around with non mainstream counters.

The difference beside the movesets and i pretty much power them up to around level 34-35 is i use another dragonite instead of lugia
I am using this line up for every Machamp moveset...

I would recommend a secondary zam or espeon considering your using a lugia it has huge bulk which will counter the massive dps from zam and espeon.and this strategy will mean your 2 zams and 2 espeons can smash machamps health and your eggy and lugia will maintain the survivability. Power up alakazam and espeon to 34-35 and have 4 glass cannons.

My team includes
2 espeons both level 30
2 alakzams both level 30
Eggy at level 30
And lugia at level 30

They wreck even HS or DP machamp.

Easiest solution is to walk two more L28+ Espeons and add them. Regardless of moveset they will improve the DPS of your team. Remove Eggy and Dragonite. That team should be able to solo any moveset since you have a Lugia for anchoring.

EDIT: I was looking at L25 mons on pokebattler for some reason. Your current team should already be able to solo any moveset. No dodging except if it lets you get one more FS/SoB off.

To be honest, your team should be able to beat DP easy.
Im using
Zam 98IV C/FS
Zam 67IV PC/FS
Espeon 80IV C/FS (lvl 24.5)
Eggy 96IV ZH/SolB
Lugia 91IV E/FS
D´nite 96IV DT/H

All level 30 (except Espeon) and i beat C/DP with 15 Seconds left and a full D´nite left, with only dodging like half of the charge moves or something. I am actually only having problems with C/CC cause i am kinda to stupid to dodge, won last fight with 2 seconds left