I mainly get records from Northumberland and Durham so not sure about other archives.
If it helps anyone I do my best to find a date and church. Family Search can often give me that depending on time frame or sometimes marriage announcements in old newspapers.
If I only have a year and quarter rather than a date/church then archives become more expensive as it then falls into the category of 'research' rather than a copy request and the price zooms so if I come across that scenario I revert to the GRO option.
Durham have what they call a quick search service, online order and payment and then they email the image, costs £5 per record and really is quick. Those images tend to be from microfilm but ones I have had have been clear.
Northumberland is slightly more complex, no online ordering (though they keep telling me they are working on it) and you email a request, they send you a copyright form, you can sign that digitally and email it back. Then you have to ring the archives and pay over the phone, cost earlier this year was £4.50. After all that they will email the image to you.
I am hoping their time working from home has got them a bit nearer to an online order system :-)
Not sure when either service will resume and if the cost will have changed, though I have lists at the ready for when they are available again.
I am sure other archives do similar copying services, but don't know details, check archives sites you are interested in and I am sure the sites will have that sort of info.
Boo