For semen straws through the BGS you would now pay 25 pounds plus transport (in liquid Nitrogen). There are BGS approved inseminators about, I am sure BGS could pooint you in the right direction. I have done laprascopic AI (where the semen is directly inserted into the tubes through a tiny hole in the abdomen) on one GG this last autumn, and will definitely repeat that this coming autumn. Is done by Innovis - incredible service, and they store semen for you (for an annual fee). Find out how far away you are form one of their centres. (I am lucky, less than 40miles from one!)
Add-on costs for (laprascopic) AI are: sponges (2 per goat plus getting vet to insert if you are not sure about doing it yourself), one bottle of PMSG (contains about 12 doses I think, but needs to be used fresh when opened, so you would have to buy a while bottle even for doing only a few goats), then driving goat(s) truly, madly, deeply in season to Innovis (don't stop at petrol station unless you want RSPCA to be called...
by unsuspecting mootorists, who really don't have a clue about goats-who-must-see-a-billy-that-afternoon), costs at Innovis is (I think) 15 pounds plus VAT. Homeward journey is actually a lot more peaceful...
Depending on what straws you are after - I think AI is just about becoming really feasible! No billy smell, at all.....