There's two ways I can see to boost a newbie fastest using UL equip: Using the missions, and not using them.
Missions Method Equipment (focusing on the laser pistol path):
- Opalo tagger
- TT power fist
- Gremlin
- Vivo T1
- Fap-50
- No chipping
Start by doing the daika mission. Opalo tag once, then finish w/ PF. Wear only harness to reduce occasional hits. Fap back to full w/ fap-5 between every mob (to help skilling). When you're finished, take the handgun skills.
Whenever HG is a skill choice, take it.
Move to merp mission. Same hunting style (may need to wear more armor parts depending how often you get mobbed)
Next is rippers. At this time, you can sell the melee skills you gained that don't affect health/evade and use that money to buy A101. Use opalo/A101 + M2100 finisher. Whatever you picked on merp mission, get the opposite on this one.
Corns. Buy Ep-40 + A104 (Or A105 if you can afford it). This will be your gun for a long time. Buy 2A if you feel you need them. (You can sell the A101 at this point)
Next is merp bronze (could do it sooner if you aren't sick of them yet, but use Ep-40.)
Foul next.
Then argo.
Then Hiryuu (need to buy a tagger for this)
Then argo bronze. (buy 5A if you need them) Will likely need a fap-80 by this point
Then molisk.
Buy 5B and do armax.
Buy Ep-41 and do feffs. Sell the korss you get, don't use them. Try to buy fap-90 by now.
Now atrox.
Then kreltin. Upgrade to Fap-110 or better if you can.
Then aurli.
At this point, you should have come along rather nicely, plus whatever new missions are available by the time you finish all this. If you can ever afford better Dmg/sec laser pistol than the Ep-40 go ahead, but it'll cost a lot to jump from here. Actually if at any point you can afford appropriate UL SIB equip go for it, otherwise the equip I mentioned will work just fine. Also tiering or not is strictly your option.
I skipped a few missions, such as droka on purpose (the bot missions). But if you wish to do them as well, obviously you'll need 6As. And I would suggest not doing them until at least after the feff mission.
If you do any mining/crafting on the side, do it only by dropping bombs/probes while in the missions. Sell none of it, but use it to craft with instead. The choices of what to craft depend highly on materials based on where you're hunting + your knowledge of the markets.
The non-mission version is a bit more complicated, So I'll just leave this as is.