How should I handle a request for payment from a bitcoin investment company to recover coins they sent to me that are "stuck in limbo"?

Most likely that the whole company is a scam. You "invest" some money, then they return a small amount to convince you they are real, and get you to send them more money. Then they stop returning money, and ask you for $175 more to keep going. They will be very good at extracting the largest possible money from you until you give up.

I recommend to readers to go to their website and have a good laugh. For a scam site, it is really funny. (You wouldn't expect to see Lorem Ipsum on an investment site). They basically tell you on their front page that they are a scam site.

PS. Check out their filing history at https://find-and-update.company-information.service.gov.uk/company/12027306/filing-history and look at the "notice for compulsory strike-off". They would have been struck off on Jan. 17th with all of their company (probably worth zero) going to the crown.

It is obviously a fake business. Or at best, completely incompetent.

Domain

The UK registrar of domains says it was registered in March last year and says

Nominet was not able to match the registrant's name and/or address against a 3rd party source on 26-Mar-2020

That isn't good

Website

Although the business claims to have been started in 2019 and the website's domain was registered 10 months ago, the website contains a lot of nonsense you might only expect in an early partially-completed draft that would not be published by anyone competent.

The front page says

Strengths of Successful Businesses
Randomised words which don't look even slightly believable. If you are going to use a passage of Lorem Ipsum, you need to be sure there isn't an embarrassing hidden in the middle of text.

and

The chunk standard of Lorem Ipsum used since the 900s is reproduced below

Lorem ipsum is nonsense text used by page layout designers to give some idea of what a page would look like, but when you don't yet have the real text available.

Their about page has

SITE NAME Site Slogan Here

and

Designed and developed by [blank space]

That isn't good.

Their FAQ includes

Which e-currencies do you accept?
We accept e-currencies.

It looks like a hasty and lazy job - not good.

Address

The street address on their webpage is an address occupied by a school (e.g. check google maps and use the streetview feature to examine the frontage)

That isn't good.

Company registration

Their record at Companies House says

Company status Active — Active proposal to strike off

(!) Confirmation statement overdue First statement date 30 May 2020 due by 13 June 2020

That is a sign of a badly run company

Their filing history shows

17 Nov 2020 First Gazette notice for compulsory strike-off
31 May 2019 Incorporation. Statement of capital on 2019-05-31, GBP 6,000

So that's a tiny business allegedly started with £6000 capital which is about to be struck off the company register.

That's a strong indication of a fraudulent (or just very incompetent) business

---

The above easy and free checks take only a few minutes and are ones anyone can do before sending money to strangers.

If it looks too good to be true, then it isn’t true

Does anyone think 20% profit EVERY DAY is reasonable? That’s the standard plan,and their worst performing!

The FAQ include this gem “It's very important for you to know that we are real traders and that we invest members' funds on major investments.”

We are really real and doing real things. Actual real traders will tell you a lot more about what they are doing

This is a very, very obvious scam. The company will keep asking you for money and you will never get anything back but perhaps a tiny payment here or there to keep you on the hook.

How is it so obvious this is a scam? Well, they offer to pay you 20% to borrow your money for 24 hours. There are only two ways someone would make such an offer. The obvious one is that they're a scammer and they're not going to pay you the 20%. Is there any other?

Yes, there is only one other possibility -- they're a complete and utter imbecile. After all, you can get a cash advance on a credit card for about 5% per month. Why would you offer to pay someone 20% to borrow their money for just a day and actually pay it to them?

So while there is a remote possibility that they're utter imbeciles, even if that was true you'd be quite foolish to invest your money with utter imbeciles. For all practical purposes, this obviously has to be a scam. Nobody would actually borrow your money at such a rate unless they were in some dire emergency they couldn't plan around or something. Nobody would do it as a regular business offering. It's obviously much worse than literally every other way they could get money,