FWIW, Deep Gnome Wizard does melee just fine even as a pure (or multiclass for various reasons). Still, won't get you a Monk PL so we'll aim for that instead
A Monk/Wizard won't have a ton of Spellblade damage, so you'll be relying more on base damages etc. You could go Handwraps, but frankly I'd recommend a Stick build (ideally dipping Rogue 1 for 15% AS). THF received some great buffs recently and it's very strong.
If you're just after the 15-30 run, a Deep Gnome melee build always makes me think about Color Spray. Requires you to be Int-based via Harper, but other than that it's like 1-2 gearpieces (
Reflective Bloodstone if you have RL but not Sharn, or Cannith Crafted Goggles) to get all you need for soloing like HR1 and ~EH content. Color Spray is disgustingly effective, having three separate save-or-get-screwed effects in a cone for all of 2 SP. Wizard 3+ means you can Heighten it for free, giving +6 DC's. That said, most Monk stuff is Wis-based (usually via Falconry); personally I know Color Spray to be super-effective, but I've seen some good stuff out of Monks especially now that you can use a special attack on 3 enemies via THF.
I'd highly recommend you roll up a testing toon; Deep Gnome Int-maxed with Wizard 3+, grab Heighten as well as like Spell Focus:Illusion, shared bank in a Int item and like a Reflective Bloodstone and test out Color Spray a little bit. If you like it as much as I do (I've built a few lives entirely around it) then consider Int-based. If you think it's trash, go Wis-based via Falconry.
As far as sustain goes, your best options are A) going undead via Pale Master, and using Undead Shrouds; or B) using Monk healing, and supporting it with potions/hirelings/UMD/whatever. Undead Healing is insanely good for pure Wizards, but for a multiclass it's a lot weaker (and locks you into Wizard 7+). Monk route works great in a party (most of it is AoE stuff) and comes with some nice curatives etc. Not sure how well Monk healing works when undead, but if you stack some Healamp it might be viable allowing you to grab a bit of both
Ok, so here goes; 12/7/1 Monk/Wizard/Rogue Deep Gnome Int-based stick build:
Ability-wise: start 12 Dex (to hit 13 with Precision), 15 Str (to hit ITHF), 12-14 Con, and then max Int + levelups.
Enhancements (in about this order):
- 14 Harper (Strategic Combat 1&2, KtA, +1 Int)
- 8 Deep Gnome (Core Int, Color Spray x3)
- 4 Thief-Acrobat (Thief Acrobatics x3)
- ~38 Henshin Mystic (Cores, Quick Strike, +2 Int, Way of the Crane, Fists of Iron, Embrace the Void, T5 goodies)
After that you could go Ninja Spy for Core 3 or Pale Master for Wraith Form + undead healing; probably pick up a few points into Shintao for the nice cores (and Iron Skin maybe).
Make sure you right-click the Color Spray icon on your hotbar and set all metamagics to "always on" for it
Gear Int & Illusion Focus and it'll land really well, and then you're just beating helpless mobs and fighting bosses :P
Buff up with like Heroism, Displacement, Blur, Jump, and Haste and go ham
walk up, Color Spray, and start using all your Monk buttons. I'd go Path of Harmonious Balance so you can do Fists of Light stuff, but YMMV. Fists of Iron is just a generally solid DPS option, but healing in an AoE is pretty great otherwise.
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If you're looking for a more traditional build, just say so and we can get you a more Monk-y Monk build (probably Wis-based via Falconry). But if you're going Deep Gnome why not go for it?