Here's my thought:
If you want to do quick A3 runs @ MP2-3 within 15-25 minutes, this is what I would suggest.
DPS & Survivability Stats:
Life Steal (Not mandatory for lower MP, but it makes everything easier)
This build is for players that are currently lacking gear e.g low damage, no life steal/regen, low MPS.
For the above build to work you would need at least 20+ Pick up Radius (PUR), anything additional would be a big plus.
Offhand: Replace with a TotD, they are easy to come by and are pretty cheap nowadays for a decent one. The standard 20+ PuR on it is the reason why you would want one.
Main Hand: Your current main hand have good black damage, but it is lacking in so many other ways. No Crit damage (CD) roll, no open socket (OS) and no Life Steal (LS). You can get a 850~ dps weapon with 150~ INT, 60+ CC & OS for maybe 200-500k? and If you can find one with LS that would be a huge plus, I think now they go for 10M+ depending on the damage.
Helm, Chest, Boots & ring: Try to get a 4 piece zunni for the mana regen. Here is a break down to get the best and cheapest zunni piece:
Zunni Helm: Zunni helms with high intel and CC is still pretty expensive. I would suggest you to get one with Mana regen with about 200+ intel, those are fairly cheap.
Zunni Chest: A zunni chest with 140~ vit & intel are cheap. If you want a better alternative with better survivability, try to look one up with some physical resist or life regen.
Zunni Boots: What ever you can afford, preferably 140~ intel & vit, add physical resist to your search, since they are a lot cheaper than All Resist (AR) ones.
Zunni Ring: Zunni rings with CC are expensive. Find one with + damage 20-50.
Gloves: Your current gloves have amazing intel and vit, but a pair of gloves with 200~ intel 7~ CC 30~ CD would be a lot better than your current one. Vit and AR would be a plus if you can afford it. I've found 200+ INT 100+ VIT and 9CC gloves for under 200k.
Amulet: Replace it with a cheap alternative, Tal Ammys are fairly cheap now, it rolls high INT and High VIT. Try to find one with +damage. If you can find one with CC and can afford it, that would be a plus. Any other rares with decent CC, CD, INT and VIT would also work. I would aim for 50+ CD 6+ CC & 150~ INT with some VIT or +DMG.
Other Ring: Any cheap ring on the AH would do. Try to search for CC, CD, INT and VIT. +DMG is a plus.
Shoulders: vile wards are starting to go down in price, so I would suggest you to invest in one. They have High AR, INT, and Life regen, if you can find one with PUR, that would be a huge plus.
Belt: If you can afford it, grab an INT Witching Hour. If not just grab a rare belt with high VIT & INT with 50+ AR and Physical Resist. PUR is also a plus.
Hope this helps.