Jeremie, I don't know if that is part of an agreement you have with your LPs that you need to have a lawyer doing due diligence for you and that require you to spend 2.5k-4k but allow me to propose a perspective of a founder who finished fundraising and one of the thing that I did was to ensure to keep my lawyer out of the equation when it was not needed.

1. Checking if the company exists - meaning looking over incorporation documents, validating the bank details and other information to make sure you're funding who you think you're funding - could be done with someone with some common sense and not a lawyer - probably hiring a person who does administration and work full time for you (the high volume of seed deals you're making make me think you already have that person).

2. Checking that the IP is owned by the company is usually done by doing a TAA (Technology assignment agreement) and in that case this could be a standard doc that you let the founders sign on. I would believe that someone on your behalf could also check that the validity of the signatures.

3. Use a service like RightSignature to collect signature, IPs, timestamps and even Identification cards picture or something of the sort in order to check the legitimacy of the person signing on the docs - this will allow you to remove the lawyer from the equation as well.

4. Last but not least - try documenting the things you need from the company beforehand and post it somewhere on the site - knowing in advance what are the things you are requesting usually eliminate the unneeded ping-ping with lawyer.

On a personal note - I streamlined the fundraising process by creating a few templates (with wire details) and having forms on Rightsignature. I had all of my investors go through that process and closed very fast - including countersigning and dating the documents once the wire reach our account. I think every process could and should be streamlined especially if you deal with 200 companies. Lawyer like to interject in between deals because they can bill and in our case we were able to save around ~$10k in legal fees because we didn't let our lawyers talk with our investors and negotiate for us - and we used a standard note provided by our lawyers.

I'm not saying you could do that but if there's room to reduce the $4k to something like $500 or even nothing - that mean an extra $400k that can be re-invested into ~3 companies - imagine that!

EDIT: I know you have way more experience closing deals than me - I just wanted to offer a founder experience and perspective on that process.