Try buying cheap low health items for once instead of HoL. And you'll see depending on a HoL makes anyone fragile. (except Oak, but that's a bug about to be fixed)
You can get +1500 health (or more?) from that 4250, that health will be just enough to chase him into the towers when he's retreating making his HoL obsolete.
If he can outrun you, use Wand of Speed which is 1250, that 3000 gold is still enough for +1100 health upgrade.
HoL should cost a bit more, but I'm not even sure of that, it's a handy item that's it.
If you don't want to risk going through the towers use a universal gadget (500 gold, 650 damage) and your demigod's finisher move. Here's a tactic for every demigod (know that I'm a TB player, so these might not be so perfect)
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Rook: Boulder Roll then Universal Gadget, when he tries to escape, that should finish him with 900 health.
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UB: Spit + Universal Gadget, same.
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Regulus: Universal Gadget, then Snipe.
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TB: Fire mode: Fireball + Universal Gadget
Frost mode: Rain of Ice + Universal gadget
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QoT: Closed: have a Shambler near him and when he's near 900 health Mulch it, 250 damage + Universal Gadget (650)
Opened: Spike Wave or Ground Spikes + Universal Gadget
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Oak: Penitence + Universal Gadget
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Sedana: Pounce + Universal Gadget (this might be hard with melee range Pounce, but still can be done)
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Erebus: Bite or Bat Swarm + Universal Gadget
And now that the term Universal Gadget has burnt into your brain, you can learn to use it well.
TLDR version: You just have to figure out a HoL counter with your demigod and your opponent will curse the minute he bought that HoL.