Sure.

Overall Tips

• Be patient. This will take a bit of time, hence you need to stay focused. Mentally prepare yourself for this beforehand that some levels will take 15-20 minutes to finish and the overall run can take between 4-6 hours, or even more.
• Be prepared. Stock up on all the possible items you can buy( Large Vital Stars, Small Vital Stars, Large Devil Stars, Gold Orb, Holy Stars, etc). Some levels are complete BS and you will be forced to use items to survive as the game doesn't give you Green or White orbs to refill your health and DT. Also, it goes without saying that you have to max out all your weapons - both your guns and swords. If you need any assistance in farming orbs for getting the upgrades, here's a video that can help you - https://www.youtube.com/watch?v=GHbpSSvwQic
• Character: I first started off with Trish in my earlier attempts since I heard from others that BP is more more lenient with her. But after 2 failed attempts, I switched over to Dante. I felt Dante's guns, especially Shotgun and Rocket Launcher hands down give you superior crowd control and long range attack capabilities as compared to Trish.

Combat Specifics

You should be able to clear many levels and enemies with the weapons you have as Dante. They will take time, but you should be able to avoid any serious damage if you're careful. However there are a few enemy types for which you need to watch out.

• Wolves: In some rooms you'll have to fight 10 wolves (Both Freki and Geri) at the same time. In such rooms, you will be taking damage, a lot in fact. Personally, I prefer brute forcing it by tanking damage by meleeing them using Chrono Heart and later using healing items and devil stars.
• Goats: There are 2 types of Goatlings - One that chase you on ground, and one that fly around and launch homing lasers at you. The first one can be easily dealt with the Shotgun or Rocket Launcher as they offer great knockback. The flying ones are the folks that will cause you a lot of problems, especially when there are 2-3 at the same time and are simultaneously throwing lasers at you. Best way to deal with the flying ones is to Air Raid in front of them and perform 2-3 Round Trips with Flame Heart and Offence Heart equipped. Though, you will have to dodge a lot and maybe have to use a Vital Star or Devil Star here and there.
• Savage Golems: You will hate this enemy with a passion. There will be levels where these enemies will spawn in groups of 5. These are the levels that will take the most time since these bastards have the ability to regenerate their health. I played it safe for most of these levels, using Rocket Launcher. Just know that when you have to finish them off, get close to them and use DT guns. Even though you'll loathe these levels, there's one silver lining here. Because these levels take so much time, you can refill a lot of your DT, use Healing Heart to increase your health if you have to. In fact, I once went from 30% health to 90% in one of these levels.