The 1♣ needs some explanation. You've agreed to play 10-13 'Kamikaze' NT at this vulnerability, along with an 'unbalanced' 1♦ opening. Therefore 1♣ must be one of the following:
- A 14-16 balanced hand, may contain 5 diamonds (even 3=3=5=2 is possible!). No 5cM.
- A 17-19 balanced hand. Does not contain a 5-card diamond or major suit.
- Unbalanced or semibalanced with real clubs (shows at least 5 unless 4441, and all 4441's with the singleton not in clubs are opened 1♣).
As responses you could opt for 2♣ inverted minor (showing 10+, but who's counting), but your methods only allow you to locate a 4-4 spade fit over that if it so happens that neither side can bid notrump (you can then bid to a 4♠, partner will likely be convinced it is a Moysian but will probably pass). Alternatively you can bid 1♠, showing 4(+) spades and 8(+) points, over which you have XYZ available (so three ways to show clubs over 1NT).
General bridge theory dictates that you should introduce your major suit if you only wish to explore game, and that long minor suits really start to shine only at the slam level. But maybe these clubs strong enough that you would prefer 5♣ in the potential 7-2 fit even over 4♠ with a 4-4 spade fit. At any rate, plan the bidding. If you have a partnership agreement that helps on this hand please also share it.